# What is 50% of 36?

Nov 9, 2016

$18$

#### Explanation:

x% can be written as $\frac{x}{100}$.

"of", when working with percentages, means the same as multiplying.

Therefore:

50% $o f$ $36 \implies \frac{50}{100} \times 36 = \frac{1800}{100} \implies \frac{18}{1} \implies 18$

Nov 9, 2016

18

#### Explanation:

In the same way that inches, centimetres, miles and kilometres are unit of measurement so is % a unit of measurement. When you see % think of $\frac{1}{100}$. So percent is measuring in hundredths.

Consequently 50%" is the same as "50xx1/100=50/100

In the same way that 2 of something is the same as $2 \times \text{ something,}$ 50% of 36 is the same as $\frac{50}{100} \times 36$

But $\frac{50}{100} \text{ is the same as } \frac{50 \div 50}{100 \div 50} = \frac{1}{2}$

So 50% of 36 is the same as $\frac{1}{2} \times 36 = 18$