Calculators/Mathematics/Percentage calculator

Percentage calculator

X% of a number · percentage share · percentage change

Percentage calculator — illustration
20% of 150
30

A percent is one hundredth of a whole: X% of Y = X/100·Y. Percentage change is always relative to the initial value: (B−A)/A·100%.

The three most common percentage calculations in one place. A percent is one hundredth of a whole:

X% of Y=X100⋅YX\%\ \text{of}\ Y=\frac{X}{100}\cdot Y

Percentage share (what % is XX of YY): XY⋅100%\dfrac{X}{Y}\cdot100\%. Percentage change is always measured relative to the initial value:

B−AA⋅100%\frac{B-A}{A}\cdot100\%

The calculator tells you whether it is an increase or a decrease. Note: a 50% increase followed by a 50% decrease does not return to the starting point — because percentages are taken from different bases.

Examples

20% of 150
→ = 30
What % is 30 of 150?
→ = 20%
Change from 150 to 180
→ = +20% (increase)

Frequently asked questions

How do you calculate by what percentage something increased?+

You subtract the initial value from the final one, divide by the initial value and multiply by 100%. E.g. from 150 to 180: (180−150)/150·100% = 20%.

Why don't +50% and −50% give back the original amount?+

Because the second percentage is taken from the new, larger base. 100 → +50% = 150 → −50% = 75, not 100. Percentages are not symmetric.

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