Percentage Calculator

Calculate percentages quickly and easily with our free online Percentage Calculator. Find a percentage of a number, calculate percentage increase and decrease, and solve common percentage problems with simple steps.

1. What is X% of Y?

Find a percentage of any number. For example, calculate 20% of 500.

Formula: (Percentage ÷ 100) × Number

2. X is What Percentage of Y?

Find out what percentage one number represents of another. For example, 50 is what percentage of 200?

Formula: (X ÷ Y) × 100

3. X is Y% of What Number?

Find the original number when you know a percentage and its value. For example, 50 is 20% of what number?

Formula: Known Value ÷ (Percentage ÷ 100)

4. Percentage Increase

Calculate how much a value has increased as a percentage. The new value must be equal to or greater than the original value.

Formula: ((New Value − Original Value) ÷ Original Value) × 100

5. Percentage Decrease

Calculate how much a value has decreased as a percentage. The new value must be equal to or less than the original value.

Formula: ((Original Value − New Value) ÷ Original Value) × 100

6. Percentage Difference Between Two Numbers

Compare two non-negative numbers and calculate their percentage difference using their average as the reference.

Formula: (Absolute Difference ÷ Average of Both Numbers) × 100

What Is a Percentage?

A percentage is a way of expressing a number as a fraction of 100. The word percentage means "per hundred." The symbol for percentage is %. Percentages are widely used in mathematics, shopping, finance, education, statistics and everyday life.

How to Calculate a Percentage

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

Example: What is 20% of 500?

20 × 500 ÷ 100 = 100

Therefore, 20% of 500 is 100.

How to Find What Percentage One Number Is of Another

Divide the first number by the second number and multiply the result by 100.

Example: 50 is what percentage of 200?

(50 ÷ 200) × 100 = 25%

How to Find the Original Number

If you know a percentage and the value it represents, divide that value by the percentage expressed as a decimal.

Example: 50 is 20% of what number?

50 ÷ 0.20 = 250

Percentage Increase Formula

Percentage increase measures how much a value has grown compared with its original value.

Example: A price increases from 100 to 150.

((150 − 100) ÷ 100) × 100 = 50%

The price has increased by 50%.

Percentage Decrease Formula

Percentage decrease measures how much a value has fallen compared with its original value.

Example: A price decreases from 200 to 150.

((200 − 150) ÷ 200) × 100 = 25%

The price has decreased by 25%.

Percentage Difference Formula

Percentage difference compares two numbers using their average as the reference. It is useful when neither number is treated as the original value.

Example: Find the percentage difference between 80 and 100.

Absolute difference = 100 − 80 = 20

Average = (80 + 100) ÷ 2 = 90

(20 ÷ 90) × 100 = 22.22%

Common Uses of Percentages

Percentages are useful for calculating shopping discounts, sales tax, tips, exam scores, interest rates, business figures, price changes, statistics and many everyday calculations.

Frequently Asked Questions

1. What is 20% of 500?

20% of 500 is 100. Multiply 500 by 20 and divide by 100.

2. How do I calculate a percentage?

Divide the part by the whole and multiply the result by 100 to find what percentage one number is of another.

3. How do I calculate percentage increase?

Subtract the original value from the new value, divide the difference by the original value and multiply by 100.

4. How do I calculate percentage decrease?

Subtract the new value from the original value, divide the difference by the original value and multiply by 100.

5. What is the difference between percentage change and percentage difference?

Percentage change compares a new value with an original value. Percentage difference compares two values using their average as the reference.

6. Is this Percentage Calculator free?

Yes. Easy Online Tool provides this Percentage Calculator free to use.

7. Does this calculator work on mobile phones?

Yes. The calculator is designed to work on smartphones, tablets and desktop computers.

Learn More About Percentages

Want to learn more about percentage calculations? Read our detailed guide with formulas, worked examples, percentage increase and decrease methods.

How to Calculate a Percentage: Formula, Examples & Easy Methods

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Important Note About Results

The results provided by this calculator are intended for general informational and educational purposes. Percentage difference uses the average of the two input values as its reference. For important financial or business decisions, verify your calculations before relying on them.