CALCSLIP

Percentage calculator

Every everyday percentage question, solved with the working shown.

Question
%

Result

15% of 240
36

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How this was calculated

  1. Percent of a value

    Result = X ÷ 100 × Y

    15 ÷ 100 × 240 = 36

In short

X% of Y is Y × X ÷ 100, so 15% of 240 is 36. X as a percent of Y is X ÷ Y × 100 (18 of 240 is 7.5%), and the percent change from X to Y is (Y − X) ÷ |X| × 100 (80 to 100 is +25%).

Four questions, four formulas

X% of Y: multiply Y by X ÷ 100. 15% of 240 is 36.

X is what percent of Y: divide X by Y and multiply by 100. 18 out of 240 is 7.5%.

Percent change from X to Y: (Y − X) ÷ |X| × 100. From 80 to 100 is a 25% increase; from 100 back to 80 is a 20% decrease.

Y increased or decreased by X%: Y × (1 + X ÷ 100). 240 plus 15% is 276.

Questions people ask

Why is a rise then a fall of the same percent not back to the start?

The second percentage applies to a different base. 100 up 10% is 110; 110 down 10% is 99.

What is the difference between percent and percentage points?

Going from 4% to 5% is a rise of one percentage point, but a 25% increase in the rate itself.

Can I type a calculation into the fields?

Yes. Every number field accepts arithmetic such as 1200*12 and shorthand such as 2.5k.