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Maths & Percentage Guide

How to Calculate Percentage? Formula, Examples & Easy Methods

Learn how to calculate percentages with simple formulas and examples. Understand marks percentage, discounts, percentage increase and decrease without complicated calculations.

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Percentage is one of the most commonly used mathematical concepts in everyday life. We use percentages to calculate marks, discounts, GST, salary changes, profits, losses, interest and many other values.

The basic concept is simple: percentage means a value out of 100. Once you understand a few basic formulas, you can solve many percentage problems quickly.

What Does Percentage Mean?

The word percentage means "per hundred". It is represented using the % symbol.

Basic Percentage Formula
Percentage = (Part ÷ Total) × 100

1. How to Calculate X% of Y

To find a particular percentage of a number, multiply the number by the percentage and divide the result by 100.

Example: What is 20% of 500?
20 ÷ 100 × 500
= 100

Therefore, 20% of 500 is 100.

2. How to Find What Percentage One Number Is of Another

When you want to know what percentage one number represents out of another number, divide the first number by the total and multiply by 100.

Formula
Percentage = (Part ÷ Total) × 100
Example: 45 is what percentage of 50?
(45 ÷ 50) × 100
= 90%

Therefore, 45 is 90% of 50.

3. How to Calculate Percentage Increase or Decrease

Percentage increase or decrease is useful when comparing an original value with a new value.

Percentage Change Formula
Percentage Change = ((New Value − Original Value) ÷ Original Value) × 100
Example: A price increases from ₹500 to ₹600.
Difference = ₹600 − ₹500 = ₹100
Percentage Increase = (100 ÷ 500) × 100
= 20%

How to Calculate Marks Percentage

Percentage is commonly used to calculate examination or school marks.

Marks Percentage Formula
(Marks Obtained ÷ Total Marks) × 100
Example: 450 marks out of 500
(450 ÷ 500) × 100
= 90%

How to Calculate Discount Percentage

Percentage is also commonly used when shopping. A discount percentage tells you how much is reduced from the original price.

Example: ₹1,000 item with 20% discount
Discount = ₹1,000 × 20 ÷ 100
Discount = ₹200
Final Price = ₹800

How to Use Antokia Percentage Calculator

If you do not want to calculate percentages manually, you can use the free Antokia Percentage Calculator.

  1. Open the Antokia Percentage Calculator .
  2. Select the type of percentage calculation you need.
  3. Enter the required numbers.
  4. Click the calculate button.
  5. Review the calculated result and formula.
Quick Tip:

Before calculating a percentage, identify whether you are finding a percentage of a number, comparing two values, or calculating an increase or decrease. Using the correct formula makes the calculation much easier.

Common Uses of Percentage

  • School and examination marks
  • Shopping discounts
  • GST and other financial calculations
  • Salary increases and decreases
  • Profit and loss calculations
  • Comparing values and changes

Frequently Asked Questions

The basic formula is Percentage = (Part ÷ Total) × 100. It is commonly used when finding what percentage one number represents of another.
Multiply 500 by 20 and divide by 100. The result is 100, so 20% of 500 is 100.
Divide the marks obtained by the total marks and multiply the result by 100. For example, 450 out of 500 gives 90%.
Multiply the original price by the discount percentage and divide by 100. For example, a 20% discount on ₹1,000 is ₹200, making the price ₹800 before any other charges or adjustments.
Yes. You can use the free Antokia Percentage Calculator to perform common percentage calculations quickly.

Conclusion

Percentage calculations are useful for marks, discounts, financial calculations and everyday comparisons. The basic formula becomes easy once you identify the type of calculation you need.

For a quick result, try the free Antokia Percentage Calculator .

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