Percentage Calculator
Calculate percentages online, free — find what X% of a number is, or what percentage one number is of another.
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About Percentage Calculator
Percentages answer three everyday questions, and each has its own simple formula.
1. What is X% of a number?
Multiply the number by X and divide by 100. 20% of 1,500 is 1,500 × 20 ÷ 100 = 300. This is how you work out a discount, a tip, a tax amount or a share of a bill.
2. What percentage is one number of another?
Divide the part by the whole and multiply by 100. If you scored 45 out of 60, that is 45 ÷ 60 × 100 = 75%. Use this for marks, survey results, or how much of a budget has been spent.
3. By what percentage did something change?
Subtract the old value from the new one, divide by the old value and multiply by 100. A price that rises from 800 to 1,000 has gone up by (1,000 − 800) ÷ 800 × 100 = 25%.
A common trap
Percentage changes are not symmetrical. If a price goes from 800 to 1,000 it rises by 25%, but going back from 1,000 to 800 is a fall of only 20%, because the starting point is now larger. The same reason explains why a 50% loss needs a 100% gain to get back to where you started.
Percentage points vs percent
When an interest rate moves from 10% to 12%, it has risen by 2 percentage points — but by 20% in relative terms. News reports and bank letters mix the two up, so it is worth checking which one is meant.
For discounts with a final price, try the Discount Calculator; for profit and markup, the Profit Margin Calculator.
1. What is X% of a number?
Multiply the number by X and divide by 100. 20% of 1,500 is 1,500 × 20 ÷ 100 = 300. This is how you work out a discount, a tip, a tax amount or a share of a bill.
2. What percentage is one number of another?
Divide the part by the whole and multiply by 100. If you scored 45 out of 60, that is 45 ÷ 60 × 100 = 75%. Use this for marks, survey results, or how much of a budget has been spent.
3. By what percentage did something change?
Subtract the old value from the new one, divide by the old value and multiply by 100. A price that rises from 800 to 1,000 has gone up by (1,000 − 800) ÷ 800 × 100 = 25%.
A common trap
Percentage changes are not symmetrical. If a price goes from 800 to 1,000 it rises by 25%, but going back from 1,000 to 800 is a fall of only 20%, because the starting point is now larger. The same reason explains why a 50% loss needs a 100% gain to get back to where you started.
Percentage points vs percent
When an interest rate moves from 10% to 12%, it has risen by 2 percentage points — but by 20% in relative terms. News reports and bank letters mix the two up, so it is worth checking which one is meant.
For discounts with a final price, try the Discount Calculator; for profit and markup, the Profit Margin Calculator.
Frequently Asked Questions
What kinds of percentage calculations does this handle?
Common calculations like "what is X% of Y" and "what percentage is X of Y."
Can I calculate a percentage increase or decrease?
Yes, both calculation types are supported.
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