# What is 60 divided by 15%?

Nov 14, 2016

400

#### Explanation:

The % in 15% is a unit of measurement and is worth $\frac{1}{100}$

So another way of writing 15% is $\frac{15}{100}$

What is 60 divided by 15% -> 60 -:15% -> 60 -:15/100

Using the shortcut method, turn $\frac{15}{100}$ upside down and multiply.

$60 \div \frac{15}{100} \text{ " =" " 60xx100/15" "=" } \frac{60}{15} \times 100$

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I can move the 15 to be 'under' the 60 from under the 100 for the same reason that $2 \times 4 \text{ is the same as } 4 \times 2$
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But 5 will divide exactly into both 15 and 60 so we have:

$\frac{60}{5} \times 100 \text{ "=" } \frac{60 \div 5}{15 \div 5} \times 100$

$= \frac{12}{3} \times 100 \text{ }$ but 3 will divide exactly into both 3 and 12

$= \frac{12 \div 3}{3 \div 3} \times 100$

$= \frac{4}{1} \times 100 = 400$