Calculate a Percentage of Something
p% of the number
- The number minus p%
- Result
- The number plus p%
- Result
- Percentage
- 15 %
- You entered
This calculator finds a percentage of a number, such as 15% of 240. Enter the percentage and the number, and you get the part, what remains after taking it away, and the number increased by that percentage.
Formula
Part = p ÷ 100 × x. Decrease: x − part = x × (1 − p ÷ 100). Increase: x + part = x × (1 + p ÷ 100).
- p: the percentage
- x: the whole amount (any unit)
Worked Example
15% of 240.
- 15 ÷ 100 = 0.15; 0.15 × 240 = 36.00
- 240 − 36 = 204.00
- 240 + 36 = 276.00
Limits and common mistakes
- A rise of p% followed by a fall of p% does not return to the start: 240 + 15% = 276, and 276 − 15% = 234.60.
- “Percent of” and “percentage points” differ: going from 10% to 15% is 5 points but a 50% rise.
- Enter 15 for 15%, not 0.15.
- To find what percent one number is of another, divide and multiply by 100: 36 ÷ 240 × 100 = 15%.
- A discount of 15% means you pay the “minus” value (204.00); a 15% tip or surcharge is the “plus” value (276.00).
Formula used
in p | Percentage | % | 15 in x | Of the number | - | 240 out part | p% of the number | - | p / 100 * x | 2 out rest | The number minus p% | - | x - part | 2 out up | The number plus p% | - | x + part | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.