Percentage Calculator
Use this free Percentage Calculator to calculate percentages, percentage increase, percentage decrease, percentage difference, discounts, and reverse percentages quickly and accurately.
Free Percentage Calculator
Choose a calculation type below and enter your numbers.
Common Percentage Calculations
What Is a Percentage?
A percentage is a number expressed as a fraction of 100. The word percentage comes from the idea of "per hundred." The percentage symbol is %.
For example, 25% means 25 out of 100, or 0.25 as a decimal. Percentages are commonly used for discounts, taxes, interest, grades, statistics, business calculations, price changes, and everyday financial decisions.
How to Use the Percentage Calculator
- Select the type of percentage calculation you want to perform.
- Enter the required numbers into the calculator.
- Click Calculate Percentage.
- The calculator will display the result, calculation, and formula used.
Percentage Calculation Types
1. What Is X% of Y?
This calculation finds a percentage of a number.
Example: 25% of 500 is:
2. X Is What Percent of Y?
Use this calculation when you want to know what percentage one number represents of another number.
Example: 25 is what percent of 100?
3. Percentage Increase
Percentage increase measures how much a value has increased relative to its original value.
Example: A price increases from $100 to $130.
4. Percentage Decrease
Percentage decrease measures how much a value has fallen relative to its original value.
Example: A price decreases from $100 to $80.
5. Percentage Difference
Percentage difference compares two values without treating either value as the original or starting value.
Example: Compare 80 and 100.
Percentage Discount Calculator
Percentages are commonly used to calculate sale prices and discounts. If an item costs $100 and has a 20% discount, the discount amount is:
The final price is:
Reverse Percentage Calculator
Reverse percentage calculations help you find the original value when you know the final value after a percentage increase or decrease.
Finding the Original Value After a Percentage Increase
Finding the Original Value After a Percentage Decrease
Percentage Examples in Everyday Life
| Situation | Example | Result |
|---|---|---|
| Discount | 20% off $100 | $80 |
| Increase | $100 to $120 | 20% increase |
| Decrease | $100 to $75 | 25% decrease |
| Percentage of number | 10% of 500 | 50 |
| Percentage relationship | 25 out of 100 | 25% |
Percentage vs Percentage Points
Percentage and percentage points are not always the same thing. A percentage describes a relative change, while percentage points describe the direct difference between two percentage values.
For example, if an interest rate increases from 5% to 6%, the difference is 1 percentage point. The relative increase is:
Therefore, the rate increased by 1 percentage point, which represents a 20% relative increase.
Why Use Our Percentage Calculator?
- Free and easy to use.
- Works on desktop, tablet, and mobile devices.
- Calculates several common percentage problems.
- Shows the calculation and formula used.
- Useful for discounts, price changes, business, school, finance, and everyday calculations.
- No complicated mathematical steps are required.
Frequently Asked Questions About Percentages
How do I calculate a percentage?
To calculate a percentage of a number, divide the percentage by 100 and multiply it by the number. For example, 20% of 200 is (20 ÷ 100) × 200 = 40.
What is 25% of 100?
25% of 100 is 25. The calculation is (25 ÷ 100) × 100 = 25.
How do I calculate percentage increase?
Subtract the original value from the new value, divide the result by the original value, and multiply by 100.
How do I calculate percentage decrease?
Subtract the new value from the original value, divide the result by the original value, and multiply by 100.
How do I calculate a discount percentage?
Multiply the original price by the discount percentage and divide by 100. Subtract the discount amount from the original price to find the final price.
What is the difference between percentage and percentage points?
Percentage points represent the direct difference between two percentages. Percentage change measures the relative change from an original value.
Can I use this percentage calculator for discounts?
Yes. Use the Discount Calculator option to estimate the discount amount and final price of an item.
Can I calculate percentage increase and decrease?
Yes. The calculator includes separate options for percentage increase and percentage decrease.
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