How to Calculate Percentage in Pakistan – Easy Percentage Calculator Guide
How to Calculate Percentage in Pakistan – Easy Percentage Calculator Guide
Percentage is one of the most commonly used mathematical concepts in Pakistan. Students use percentages to calculate exam results, marks, grades, admission merit, attendance and test scores. Businesses use percentages to calculate discounts, profits, commissions and price changes, while employees may use percentages to understand salary increases, deductions and performance figures.
The good news is that calculating a percentage is simple once you understand the basic formula.
This guide explains how to calculate percentage in Pakistan with easy formulas and practical examples. It covers marks percentage, exam results, percentage increase and decrease, discounts, profit percentage, attendance percentage, salary increases and how to find the original number when a percentage is already known.
What Is a Percentage?
A percentage means a number out of 100.
The word "percent" means "per hundred."
For example:
-
10% means 10 out of 100
-
25% means 25 out of 100
-
50% means 50 out of 100
-
75% means 75 out of 100
-
100% means the complete amount
The percentage symbol is %.
If a student obtains 70 marks out of 100, the student's percentage is 70%.
If a student obtains 750 marks out of 1,000, the percentage is 75%.
Basic Percentage Formula
The most important percentage formula is:
Percentage = (Obtained Value ÷ Total Value) × 100
For example, if a student obtains 450 marks out of 600:
Percentage = (450 ÷ 600) × 100
Percentage = 75%
This same formula can be used for marks, attendance, completed tasks and many other situations.
How to Calculate Percentage of Marks
Calculating marks percentage is one of the most common uses of percentage in Pakistan.
Suppose a student obtains:
-
Obtained marks = 425
-
Total marks = 550
Use:
Percentage = (425 ÷ 550) × 100
The result is approximately:
77.27%
Therefore, the student's percentage is 77.27%.
Another Example
Suppose a student gets 875 marks out of 1,100.
Percentage = (875 ÷ 1,100) × 100
Percentage = 79.55%
So the student has approximately 79.55% marks.
How to Calculate Percentage from Exam Marks
The same method applies whether you are calculating the percentage of:
-
Matric marks
-
Intermediate marks
-
University marks
-
Entry test marks
-
School examination marks
-
Competitive examination marks
-
Individual subject marks
-
Total examination marks
The important thing is to use the correct obtained marks and the correct maximum marks.
For example, if you score 72 marks in a subject with a total of 80 marks:
Percentage = (72 ÷ 80) × 100
Percentage = 90%
How to Calculate Overall Percentage from Multiple Subjects
When calculating the overall percentage of an examination, add the marks obtained in all relevant subjects and divide them by the total possible marks.
For example:
| Subject | Obtained | Total |
|---|---|---|
| English | 75 | 100 |
| Urdu | 82 | 100 |
| Mathematics | 88 | 100 |
| Science | 79 | 100 |
| Computer | 86 | 100 |
Total obtained:
75 + 82 + 88 + 79 + 86 = 410
Total marks:
100 + 100 + 100 + 100 + 100 = 500
Percentage:
(410 ÷ 500) × 100 = 82%
Therefore, the overall percentage is 82%.
Important Point About Different Subject Marks
If subjects have different maximum marks, do not simply average the subject percentages unless the relevant institution specifically tells you to do so.
For example:
-
Subject A: 80/100
-
Subject B: 45/50
The correct combined percentage is:
Total obtained = 80 + 45 = 125
Total possible = 100 + 50 = 150
Percentage = (125 ÷ 150) × 100 = 83.33%
This is different from simply calculating the average of 80% and 90%.
How to Calculate Percentage of a Number
Sometimes you are not calculating marks. Instead, you want to find a particular percentage of an amount.
The formula is:
Percentage Value = (Percentage ÷ 100) × Number
For example, to calculate 20% of PKR 50,000:
20 ÷ 100 × 50,000
= PKR 10,000
Therefore, 20% of PKR 50,000 is PKR 10,000.
More Examples
10% of PKR 80,000
= 10 ÷ 100 × 80,000
= PKR 8,000
15% of PKR 40,000
= 15 ÷ 100 × 40,000
= PKR 6,000
25% of PKR 200,000
= 25 ÷ 100 × 200,000
= PKR 50,000
How to Calculate Percentage Increase
Percentage increase tells you how much a value has increased compared with its original value.
The formula is:
Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100
Suppose a product originally costs PKR 20,000 and its price increases to PKR 25,000.
Increase:
PKR 25,000 − PKR 20,000 = PKR 5,000
Percentage increase:
(5,000 ÷ 20,000) × 100 = 25%
Therefore, the price increased by 25%.
How to Calculate Percentage Decrease
Percentage decrease is calculated using:
Percentage Decrease = ((Original Value − New Value) ÷ Original Value) × 100
Suppose a product's price falls from PKR 30,000 to PKR 24,000.
Decrease:
PKR 30,000 − PKR 24,000 = PKR 6,000
Percentage decrease:
(6,000 ÷ 30,000) × 100 = 20%
Therefore, the price decreased by 20%.
How to Calculate Discount Percentage
Percentage calculations are frequently used when shopping.
Suppose a shop offers a discount on a product.
Original price = PKR 10,000
Sale price = PKR 8,000
Discount:
PKR 10,000 − PKR 8,000 = PKR 2,000
Discount percentage:
(2,000 ÷ 10,000) × 100 = 20%
Therefore, the discount is 20%.
How to Calculate the Price After a Percentage Discount
Suppose a product costs PKR 50,000 and the shop offers a 15% discount.
First calculate the discount:
15% of PKR 50,000 = PKR 7,500
Then subtract it:
PKR 50,000 − PKR 7,500 = PKR 42,500
The final price is PKR 42,500.
You can also use:
Final Price = Original Price × (1 − Discount Percentage ÷ 100)
So:
50,000 × (1 − 15/100) = 42,500
How to Calculate Profit Percentage
Profit percentage is commonly used in business and trading.
The basic formula is:
Profit = Selling Price − Cost Price
Then:
Profit Percentage = (Profit ÷ Cost Price) × 100
Suppose a shopkeeper buys an item for PKR 8,000 and sells it for PKR 10,000.
Profit:
PKR 10,000 − PKR 8,000 = PKR 2,000
Profit percentage:
(2,000 ÷ 8,000) × 100 = 25%
Therefore, the profit is 25% of the cost price.
How to Calculate Loss Percentage
If the selling price is lower than the cost price, there is a loss.
The formula is:
Loss = Cost Price − Selling Price
Then:
Loss Percentage = (Loss ÷ Cost Price) × 100
Suppose an item costs PKR 20,000 but is sold for PKR 17,000.
Loss:
PKR 20,000 − PKR 17,000 = PKR 3,000
Loss percentage:
(3,000 ÷ 20,000) × 100 = 15%
Therefore, the loss is 15%.
How to Calculate Attendance Percentage
Students and employees can calculate attendance percentage using the same basic formula.
Attendance Percentage = (Days Attended ÷ Total Working Days) × 100
Suppose a student attends 72 days out of 80:
(72 ÷ 80) × 100 = 90%
The attendance percentage is 90%.
Another example:
-
Classes held = 120
-
Classes attended = 102
(102 ÷ 120) × 100 = 85%
Attendance = 85%.
How to Calculate Salary Increase Percentage
Percentage is also useful when calculating a salary raise.
Suppose an employee's salary increases from PKR 50,000 to PKR 60,000.
Increase:
PKR 60,000 − PKR 50,000 = PKR 10,000
Percentage increase:
(10,000 ÷ 50,000) × 100 = 20%
Therefore, the salary increased by 20%.
Finding the New Salary After a Percentage Increase
Suppose your salary is PKR 70,000 and you receive a 10% increase.
Increase:
10% × PKR 70,000 = PKR 7,000
New salary:
PKR 70,000 + PKR 7,000 = PKR 77,000
So the new salary is PKR 77,000.
How to Calculate Tax or Deduction Percentage
If a deduction is expressed as a percentage, use:
Deduction = Amount × Percentage ÷ 100
For example, if an amount is PKR 100,000 and the applicable deduction is 5%:
PKR 100,000 × 5 ÷ 100 = PKR 5,000
Amount remaining:
PKR 100,000 − PKR 5,000 = PKR 95,000
Actual tax rates and government deductions depend on the relevant law and should not be assumed from a general percentage example.
How to Find What Percentage One Number Is of Another
Suppose you want to know what percentage 45 is of 60.
Use:
Percentage = (45 ÷ 60) × 100
= 75%
Therefore, 45 is 75% of 60.
This formula is useful when comparing:
-
Marks
-
Sales
-
Expenses
-
Savings
-
Attendance
-
Production
-
Targets
-
Survey results
How to Find the Original Number from a Percentage
Sometimes you know the percentage and the resulting amount but want to find the original number.
Suppose 20% of a number is 5,000.
Use:
Original Number = Percentage Amount ÷ (Percentage ÷ 100)
Therefore:
5,000 ÷ 0.20 = 25,000
So the original number is 25,000.
How to Calculate Percentage When the Result Is a Fraction
A calculator may produce a decimal answer.
For example:
37 ÷ 50 × 100 = 74%
But another calculation may produce:
83 ÷ 120 × 100 = 69.1666...%
You can normally round this to:
69.17%
The number of decimal places you should use depends on the purpose. Official examination results, applications and merit calculations should follow the relevant institution's stated rounding rules.
Percentage to Decimal Conversion
To convert a percentage into a decimal, divide it by 100.
Examples:
-
10% = 0.10
-
25% = 0.25
-
50% = 0.50
-
75% = 0.75
-
80% = 0.80
-
125% = 1.25
For example:
30% = 30 ÷ 100 = 0.30
This is useful when using formulas involving percentage increases and decreases.
Decimal to Percentage Conversion
To convert a decimal into a percentage, multiply it by 100.
Examples:
-
0.25 = 25%
-
0.50 = 50%
-
0.75 = 75%
-
0.82 = 82%
-
1.20 = 120%
For example:
0.65 × 100 = 65%
Therefore, 0.65 equals 65%.
Percentage to Fraction
A percentage can also be converted into a fraction.
For example:
25% = 25/100 = 1/4
Similarly:
50% = 50/100 = 1/2
75% = 75/100 = 3/4
This can make some calculations easier.
How to Calculate 1% Quickly
One useful mental-math technique is to first calculate 1%.
To calculate 1% of a number:
Number ÷ 100
For example, 1% of PKR 80,000 is:
PKR 80,000 ÷ 100 = PKR 800
Therefore:
-
2% = PKR 1,600
-
5% = PKR 4,000
-
10% = PKR 8,000
-
20% = PKR 16,000
-
25% = PKR 20,000
This method is particularly useful for shopping discounts and financial calculations.
Easy Percentage Calculation Tricks
Some percentages are particularly easy to calculate mentally.
10%
Move the decimal point one place to the left.
10% of 50,000 = 5,000
5%
Calculate 10% and divide it by 2.
5% of 50,000 = 2,500
1%
Divide the amount by 100.
1% of 50,000 = 500
50%
Divide the number by 2.
50% of 50,000 = 25,000
25%
Divide the number by 4.
25% of 50,000 = 12,500
75%
Calculate 50% + 25%.
75% of 50,000:
25,000 + 12,500 = 37,500
Percentage Calculator Formula
A simple percentage calculator can be based on the following formula:
Percentage = (Part ÷ Whole) × 100
For example:
Part = 375
Whole = 500
(375 ÷ 500) × 100 = 75%
If you are building a percentage calculator for a website, the calculator should clearly identify whether the user wants to:
-
Find a percentage of a number.
-
Find what percentage one number is of another.
-
Calculate percentage increase.
-
Calculate percentage decrease.
-
Calculate a discounted price.
-
Calculate profit or loss percentage.
-
Calculate marks percentage.
These are different calculations and should not be confused.
Percentage Calculation for Pakistani Students
Percentage calculations are particularly useful for Pakistani students because marks are commonly presented as obtained marks against total marks.
For example, if a student obtains 720 marks out of 1,000:
(720 ÷ 1,000) × 100 = 72%
However, students should always check the official result card, board notification or university admission policy when percentage affects eligibility or merit.
This is important because educational institutions may use specific formulas for aggregates and merit. An aggregate is not always the same thing as a simple overall percentage.
For example, an admission formula may assign different weights to Matric, Intermediate and an entry test. In that situation, simply adding all marks and dividing by total marks may produce a different result from the official merit calculation. Current admission policies should therefore be checked with the relevant institution.
Percentage and Pakistani Board Results
Students should also remember that grading systems can change between boards, examination years and educational programs.
For example, BISE Lahore's published grading information has used percentage bands for examination results, while more recent examination arrangements can have different marks structures and grading rules.
Therefore, a student should not assume that a particular percentage always corresponds to the same grade in every Pakistani examination system.
The mathematical percentage formula remains the same, but the grade, division, merit position or eligibility attached to that percentage may vary.
Percentage vs Aggregate
These terms are often confused.
Percentage
Percentage normally tells you how much of a total has been achieved.
For example:
800 out of 1,000 = 80%
Aggregate
An aggregate may combine several separate scores using specified weights.
For example, suppose an institution uses:
-
20% Matric
-
30% Intermediate
-
50% Entry Test
The final aggregate is not simply the average of the three percentages. Each percentage is multiplied by its assigned weight.
The exact formula depends on the institution or admission authority.
How to Calculate Weighted Percentage
Suppose an imaginary admission formula uses:
-
Matric = 20%
-
Intermediate = 30%
-
Entry Test = 50%
A student has:
-
Matric percentage = 80%
-
Intermediate percentage = 75%
-
Entry Test percentage = 70%
Calculate each weighted component:
Matric contribution:
80 × 20 ÷ 100 = 16
Intermediate contribution:
75 × 30 ÷ 100 = 22.5
Entry Test contribution:
70 × 50 ÷ 100 = 35
Total:
16 + 22.5 + 35 = 73.5%
The weighted aggregate is 73.5%.
This is an illustrative example only. For an actual admission application, use the official formula published by the relevant university, board or admission authority.
Common Percentage Mistakes
Mistake 1: Forgetting to Multiply by 100
If you calculate:
500 ÷ 800 = 0.625
This is a decimal, not yet the percentage.
Multiply by 100:
0.625 × 100 = 62.5%
Mistake 2: Dividing by the Wrong Number
For marks percentage, divide obtained marks by total marks, not the other way around.
Correct:
Obtained ÷ Total × 100
Mistake 3: Using the Wrong Total Marks
If different subjects have different maximum marks, add the actual maximum marks rather than assuming every subject is out of 100.
Mistake 4: Confusing Increase with Percentage of the New Value
When calculating percentage increase, the original value is normally the base.
Mistake 5: Confusing Discount with Final Price
A 20% discount does not mean the customer pays 20%. It means the customer receives a 20% reduction and pays the remaining 80%.
Mistake 6: Treating Aggregate as Simple Percentage
An admission aggregate may use weighted scores. Always check the official formula.
Quick Percentage Examples
Here are some common examples:
50 out of 100
= 50%
75 out of 100
= 75%
80 out of 100
= 80%
400 out of 500
= 80%
450 out of 600
= 75%
720 out of 900
= 80%
850 out of 1,100
= approximately 77.27%
900 out of 1,200
= 75%
Percentage Calculation Formula Cheat Sheet
Marks Percentage
(Obtained Marks ÷ Total Marks) × 100
Percentage of a Number
(Percentage ÷ 100) × Number
Percentage Increase
((New Value − Original Value) ÷ Original Value) × 100
Percentage Decrease
((Original Value − New Value) ÷ Original Value) × 100
Profit Percentage
(Profit ÷ Cost Price) × 100
Loss Percentage
(Loss ÷ Cost Price) × 100
Attendance Percentage
(Days Attended ÷ Total Days) × 100
Original Number
Percentage Amount ÷ (Percentage ÷ 100)
Final Tips for Calculating Percentage
Percentage calculations are straightforward when you identify the correct numbers before using the formula.
For marks, use:
Obtained marks ÷ Total marks × 100
For a discount, compare the discount amount with the original price.
For an increase or decrease, use the original amount as the base.
For profit and loss, normally compare the profit or loss with the cost price.
For admission merit, do not assume that a simple percentage is the same as an aggregate. Always use the formula provided by the relevant institution.
For official Pakistani examinations, admissions and applications, check the current rules of the relevant board, university or authority because grading structures, total marks and merit formulas can change.
Conclusion
Calculating percentage in Pakistan does not require a complicated formula. The basic calculation is:
Percentage = (Obtained Value ÷ Total Value) × 100
Once this formula is understood, it can be used for exam marks, attendance, discounts, salary increases, business profit, losses and many other everyday calculations.
For example, if you obtain 750 marks out of 1,000:
(750 ÷ 1,000) × 100 = 75%
For a percentage of an amount, use:
Amount × Percentage ÷ 100
For percentage increase or decrease, compare the difference with the original value.
Students should remember that percentage and aggregate are not always the same. Universities, admission authorities and examination boards may use their own weighted formulas. Current official rules should therefore be checked whenever percentage is being used for admission, eligibility, grading or another formal purpose.
With these formulas, you can calculate most common percentages quickly using a calculator, mobile phone or even mental mathematics.
Guide Information
Eligibility
This guide is useful for anyone who needs to calculate percentages, including school and college students, teachers, employees, business owners, shoppers, applicants and general users. No specific qualification or eligibility requirement is needed to use the percentage formulas.
Required Documents
No documents are required to calculate a percentage. For official purposes such as examination results, admission applications or merit calculations, users may need their official marksheet, result card, application information or other records specified by the relevant institution.
Fees
There is no fee for calculating a percentage using the formulas explained in this guide. Online percentage calculators may be available free of charge, depending on the website or service.
Processing Time
Percentage calculations are normally immediate when the required numbers are available. Official institutions may take their own time to process, verify or publish results, but that is separate from the mathematical percentage calculation.WHEN TO APPLY:A percentage can be calculated whenever the required values are available. Students can calculate marks percentages after receiving marks, applicants can calculate eligibility percentages when preparing applications, and businesses or individuals can calculate financial percentages whenever required.
Application Method
No formal application is required. Percentage can
Validity Period
A mathematical percentage does not have an expiry date. However, an official percentage, grade, meri
Step-by-Step Process
- Identify what you want to calculate as a percentage.
- Determine whether you are calculating marks, a discount, an increase, a decrease, profit, loss or another percentage.
- Write down the value you have.
- Identify the total or original value.
- Check that both numbers use the same unit.
- For marks, identify the marks obtained.
- Identify the maximum or total marks.
- Add the marks from all relevant subjects when calculating an overall result.
- Add the maximum marks for those same subjects.
- Divide the obtained value by the total value.
- Multiply the result by 100.
- Write the answer with the percentage symbol.
- Round the result only when appropriate.
- Keep the required decimal places if an institution specifies them.
- To find a percentage of a number, divide the percentage by 100.
- Multiply the resulting decimal by the original number.
- For a discount, identify the original price.
- Identify the discounted or sale price.
- Subtract the sale price from the original price.
- Divide the discount amount by the original price.
- Multiply by 100 to obtain the discount percentage.
- For percentage increase, subtract the original value from the new value.
- Divide the increase by the original value.
- Multiply by 100 to obtain the percentage increase.
- For percentage decrease, subtract the new value from the original value.
- Divide the decrease by the original value.
- Multiply by 100 to obtain the percentage decrease.
- For profit percentage, subtract cost price from selling price.
- Divide the profit by the cost price.
- Multiply by 100 to obtain profit percentage.
- For loss percentage, subtract selling price from cost price.
- Divide the loss by the cost price.
- Multiply by 100 to obtain loss percentage.
- For attendance, divide days attended by total working or class days.
- Multiply the attendance result by 100.
- For salary increases, subtract the old salary from the new salary.
- Divide the increase by the old salary.
- Multiply by 100 to find the salary increase percentage.
- If calculating an admission aggregate, find the official weighting formula first.
- Calculate each required component according to the official weighting.
- Add the weighted components to obtain the aggregate.
- Do not replace an official aggregate formula with a simple average.
- Check your numbers before finalizing the result.
- Compare the calculation with the official result or policy when the percentage is being used for a formal purpose.
- Keep a record of the calculation if it is needed for an application, business transaction or other important purpose.
Official Information
Official Website: https://punjab.gov.pk/zakat
Contact: No official contact is required for ordinary percentage calculations. For an official examination, admission or merit calculation, contact the relevant educational board, university, testing authority or organization using its current official contact information.
Frequently Asked Questions
The basic formula is Percentage = (Value ÷ Total Value) × 100.
Divide the marks obtained by the total marks and multiply the answer by 100.
Divide 75 by 100 and multiply by 100. The result is 75%.
Calculate (450 ÷ 600) × 100. The result is 75%.
Calculate (750 ÷ 1,000) × 100. The percentage is 75%.
Divide the percentage by 100 and multiply the result by the number.
Twenty percent of PKR 50,000 is PKR 10,000.
Subtract the original value from the new value, divide by the original value and multiply by 100.
Subtract the new value from the original value, divide by the original value and multiply by 100.
Subtract the sale price from the original price, divide the discount by the original price and multiply by 100.
Calculate the discount amount and subtract it from the original price.
Fifteen percent of PKR 40,000 is PKR 6,000.
Twenty-five percent of PKR 200,000 is PKR 50,000.
Divide the number of days attended by the total number of days and multiply by 100.
Divide the profit by the cost price and multiply by 100.
Divide the loss by the cost price and multiply by 100.
No. A simple percentage and an aggregate based on weighted components can be different.
Use the exact weighting formula published by the relevant university or admission authority.
Yes. A standard calculator can calculate percentages using the formulas in this guide.
Yes. Many percentages can be calculated mentally, especially 1%, 5%, 10%, 25%, 50% and 75%.
Divide the number by 10.
Divide the number by 100.
Calculate 10% and divide that amount by two.
Divide the number by four.
Divide the number by two.
Divide the percentage by 100. For example, 75% becomes 0.75.
Multiply the decimal by 100. For example, 0.75 becomes 75%.
Write 25 over 100 and simplify it to 1/4.
Divide the known percentage amount by the percentage expressed as a decimal.
Divide 5,000 by 0.20. The original number is 25,000.
Percentage increase measures growth from the original value, while percentage decrease measures reduction from the original value.
Normally, use the original value as the base.
Profit percentage is normally calculated using cost price as the base.
Not always. If subjects have different maximum marks, calculate total obtained marks divided by total maximum marks.
Add all relevant obtained marks, add the corresponding maximum marks and divide total obtained marks by total maximum marks, then multiply by 100.
Not necessarily. Boards and examination systems can have different grading structures, so students should check the applicable official rules.
Not necessarily. Grade boundaries can vary by board, examination system and year.
Only if the institution's published formula uses a simple percentage. Many admission systems use weighted components.
An admission aggregate may give different weights to Matric, Intermediate, entry tests or other components.
Yes. Percentages are commonly used for profit, loss, discounts, commissions, growth and other business calculations.
Yes. The increase can be divided by the original salary and multiplied by 100.
Multiply the original salary by 10 and divide by 100, then add the increase to the original salary.
The discount is PKR 2,000, so the price after discount is PKR 8,000.
It means the complete amount or whole.
Yes. A percentage can exceed 100% when the value being compared is greater than the reference or original value.
It means one and a half times the reference amount, or 150 parts for every 100 parts of the reference.
Only when appropriate or when the relevant institution specifies a rounding rule.
Check the official marks, total marks and calculation method. If the difference remains, contact the relevant board or institution.
It can help with the mathematics, but official applications should use the formula and rounding rules specified by the relevant authority.
Yes. Excel can perform percentage calculations using formulas based on division and multiplication.
Remember: Part divided by whole, multiplied by 100.
Check the current official website, admission notice, examination board notification or policy document of the relevant authority.