Everyday numbers, solved
Calculate a percentage of a number, what percent one value is of another, and percentage increase or decrease.
Math
Solve three common percentage questions at once.
Percent of a number
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Negative results indicate a decrease. Zero starting values do not have a defined percentage change.
How it works
Quick answer: 20% of 150 is 30. 30 is 20.00% of 150. Going from 120 to 150 is a +25.00% change.
X% of N = X ÷ 100 × N
Part as % of whole = part ÷ whole × 100
Percent change = (new − old) ÷ |old| × 100A negative percent change is a decrease.
20% of 150 = 0.20 × 150 = 30. 30 ÷ 150 × 100 = 20.00%. (150 − 120) ÷ 120 × 100 = +25.00%.
| New value | Percent change | Difference | Open |
|---|---|---|---|
| 90 | -25.00% | -30 | Open |
| 108 | -10.00% | -12 | Open |
| 120 | +0.00% | 0 | Open |
| 132 | +10.00% | 12 | Open |
| 150 | +25.00% | 30 | Open |
| 180 | +50.00% | 60 | Open |
Multiply Y by X and divide by 100.
New value minus old value, divided by old value, times 100.
Going from 4% to 5% is a 1 percentage point increase, but a 25% relative increase.