Percentage Calculator
Three common percentage questions in one place: what is a percent of a number, what percent one number is of another, and what whole a percentage comes from.
Result
- In words
- 20% of 150 = 30
How the three percentage questions work
A percent is a number out of 100. Finding X% of Y multiplies Y by X ÷ 100. Finding what percent X is of Y divides X by Y and multiplies by 100.
If X is Y% of an unknown whole, the whole is X divided by Y ÷ 100. Negative numbers are accepted. Asking what percent of 0 something is, or using 0% to find a whole, has no answer.
Formulas used
X% of Y = X ÷ 100 × Y
X is what % of Y = X ÷ Y × 100
X is Y% of what = X ÷ (Y ÷ 100)Worked example
What is 20% of 150?
- 20% as a decimal: 20 ÷ 100 = 0.2
- Multiply: 0.2 × 150 = 30
20% of 150 = 30.
Assumptions and limits
- Results are shown with up to six decimal places.
- Values are limited to plus or minus one trillion.
- The calculator does not interpret tax, tips or discounts; use the specific tools for those.
Common questions
How do I turn a percentage into a decimal?
Divide it by 100, which moves the decimal point two places to the left. 25% becomes 0.25 and 7% becomes 0.07. Multiplying a number by that decimal gives the percentage of it.
What is the difference between a percentage and a percentage point?
A percentage compares a part to a whole, while a percentage point is the plain difference between two percentages. If a rate rises from 4% to 6%, it has risen by 2 percentage points, which is a 50% increase.