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What is X percent of Y?

Type the two numbers and the answer appears, with the sum written out underneath.

What is X% of Y?

What is of ?

12
15% of 80

Working: 80 × 15 ÷ 100 = 12

X is what percent of Y?

is what percent of ?

15%
12 is 15% of 80

Working: 12 ÷ 80 × 100 = 15%

X is Y% of what?

Works backwards from a part to the whole.

is of what?

80
12 is 15% of 80

Working: 12 × 100 ÷ 15 = 80

How to work out a percentage of a number

Multiply the number by the percentage, then divide by 100. 15% of 80 is 80 × 15 ÷ 100 = 12.

The order doesn't matter, so 15% of 80 is the same as 80% of 15. That helps in your head: 8% of 50 is 50% of 8, which is 4.

The other two questions

“12 is what percent of 80?” divides the part by the whole: 12 ÷ 80 × 100 = 15%. “12 is 15% of what?” runs it backwards: 12 × 100 ÷ 15 = 80. It's one sum, rearranged three ways.

Doing it without a calculator

10% moves the decimal point one place left, so 10% of 80 is 8. Half of that is 5%, which is 4. 1% moves the point two places: 0.8. Most percentages can be built from those. 15% of 80 is 8 + 4 = 12, and 18% would be 12 + 0.8 + 0.8 + 0.8 = 14.4.

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