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Percent of a Number

Part of the Decimals, Percents & Ratios section of Coddy's Pre-Algebra journey. Lesson 24 of 53.

What is 20% of 45? In mathematics, of means multiply, so 20% of 45 is 20%⋅4520\%\cdot 45. On the board, a percent is a number like any other, so you can write it exactly like that.

To work it out, write the percent as a fraction over 100: 20100⋅45\frac{20}{100}\cdot 45. Now multiply the top by 45 and divide by 100: 20 times 45 is 900, and 900 divided by 100 is 9. So 20% of 45 is 9.

The answer makes sense: 20% is a fifth of the whole, and a fifth of 45 is 9. Checking a percent against a simple fraction like this, a half, a quarter or a tenth, catches most slips before you press Check.

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Challenge

Work out 15% of 80, which the board writes as 15%⋅8015\%\cdot 80. Write the percent over 100 first, then finish.

Try it yourself

15%⋅8015\%\cdot 80

Simplify

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