Calculator
Percentage calculator
Example: 15% of 200 is 30. Percent amount = number × percent ÷ 100.
What do you want to find?
Finds a given percent of a number.
Fill in both fields with numbers.
Percent of the number
30
Formula: 200 × 15 ÷ 100 = 30
Multiply the number by the percent and divide by 100.
Examples
The percent in the examples is only an illustration: type your own rate.
Percentage formulas
- Percent of a numberpercent amount = number × percent ÷ 100
- What percentpercent = part ÷ whole × 100
- Increase / decreasechange, % = (new − original) ÷ original × 100
- Add / take off %result = number × (1 ± percent ÷ 100)
- Find the originaloriginal = final ÷ (1 ± percent ÷ 100)
What a percent is
A percent is one hundredth: 1% = 1 ÷ 100 = 0.01. So to take 25% of a number it is enough to multiply it by 0.25.
Adding or taking off a percentage means multiplying by (1 ± percent ÷ 100). Going back means dividing, because a percentage is always taken of the original number.
The calculator accepts both a comma (12,5) and a dot (12.5) as the decimal mark.
Loan or mortgage interest is worked out separately: Loan calculator
Frequently asked questions
How do you find a percent of a number?
Multiply the number by the percent and divide by 100: 15% of 200 is 30.
What percent is one number of another?
Divide the part by the whole and multiply by 100: 30 is 15% of 200.
How is a percent increase or decrease calculated?
Divide the difference between the new and the original value by the original value and multiply by 100. For example, a change from 80 to 100 is an increase of 25%. For a decrease the same formula gives a negative result.
How do you add or take off a percentage?
Multiply the number by (1 + percent ÷ 100), or by (1 − percent ÷ 100) to take it off. For example, adding 18% to 100 gives 118. The percent in the example is only an illustration: type your own rate.
How do you find the original amount from the amount after a percentage?
Divide the amount by (1 + percent ÷ 100), or by (1 − percent ÷ 100) if the percent was taken off. For example, a number that is 118 after adding 18% was 100 before.
Why does adding a percentage and taking off the same percentage not give back the original?
Because the second percentage is taken of the larger number: adding 18% to 100 gives 118, and taking 18% off that 118 gives 96.76.
Can I type a number with a comma?
Yes: 12,5 and 12.5 are both accepted and spaces are ignored. When both a comma and a dot appear, the last one is the decimal mark.