Use the free Percentage Calculator to calculate percentages quickly and easily. Choose a calculation below to find a percentage of a number, determine what percentage one number is of another, calculate percentage increase or decrease, or find the percentage difference between two values.
What is X% of Y?
Calculate a percentage of a number.
X is what percentage of Y?
Find what percentage one number represents of another number.
Percentage Increase or Decrease
Calculate the percentage change between an original value and a new value.
Percentage Difference
Calculate the percentage difference between two values.
How to Use the Percentage Calculator
This percentage calculator can handle several common percentage calculations. Choose the tab that matches what you want to calculate, enter the numbers, and click Calculate.
For example, if you want to find 25% of 200, select Percentage of a Number, enter 25 and 200, and the calculator will give you the result instantly.
You can also use the other tabs to find what percentage one number is of another, work out a percentage increase or decrease, or calculate the percentage difference between two values.
Percentage Formulas
Knowing the basic percentage formulas can make it easier to understand how the calculator gets the result.
Percentage of a Number
To find a percentage of a number:
Percentage = (Percentage ÷ 100) × Number
For example:
25% of 200 = (25 ÷ 100) × 200 = 50
What Percentage Is One Number of Another?
To find what percentage one number is of another:
Percentage = (Part ÷ Whole) × 100
For example:
50 is what percentage of 200?
(50 ÷ 200) × 100 = 25%
Percentage Increase or Decrease
To calculate the percentage change:
Percentage Change = ((New Value − Original Value) ÷ Original Value) × 100
A positive result means the value increased, while a negative result means it decreased.
For example, if a price changes from $100 to $125:
((125 − 100) ÷ 100) × 100 = 25% increase
Percentage Calculation Examples
Here are a few everyday examples of how percentages can be used:
- 10% of 500 = 50
- 20% of 250 = 50
- 75 is 25% of 300
- A price increasing from 100 to 120 represents a 20% increase
- A price decreasing from 200 to 150 represents a 25% decrease
Percentages are commonly used for discounts, price changes, test scores, business calculations, statistics, taxes, and many other everyday situations.
Frequently Asked Questions
What is a percentage?
A percentage is a way of expressing a number as a part of 100. The word “percent” means “per hundred.” For example, 25% means 25 out of 100.
How do I calculate a percentage of a number?
Divide the percentage by 100 and multiply the result by the number. For example, to calculate 15% of 200, use (15 ÷ 100) × 200, which equals 30.
How do I calculate what percentage one number is of another?
Divide the first number by the second number and multiply by 100. For example, 40 is 20% of 200 because (40 ÷ 200) × 100 = 20%.
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. If the result is positive, it represents a percentage increase.
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. The result represents the percentage decrease.
Can I use decimals in the Percentage Calculator?
Yes. You can enter decimal values as well as whole numbers. This can be useful when working with measurements, prices, statistics, or other values that are not whole numbers.
Can percentages be greater than 100%?
Yes. A percentage can be greater than 100%. For example, 150% means one and a half times the original amount.
What is the difference between percentage change and percentage difference?
Percentage change compares a new value with an original value and shows how much the value has increased or decreased. Percentage difference compares two values without treating either one as the original value.
Related Calculators
You may also find these calculators useful:
- Ratio Calculator – Compare two quantities and simplify ratios.
- Average Calculator – Find the average of a group of numbers.
- Fraction Calculator – Perform calculations with fractions.