# 12 is what percent of 200?

Dec 8, 2016

6%

#### Explanation:

How? 12/200xx100%=6/100xx100%=6.0%.

Dec 8, 2016

6%

#### Explanation:

First of all, per $c e n t$ means per $h u n \mathrm{dr} e d$ or $/ 100$.
:. x% can be written as $\frac{x}{100}$.

Let 12 be x% of 200, where $x$ can be any whole number(0 to infinity) or decimal number(numbers with a '$.$').

Then, 200 xx x% = 12
$\textcolor{w h i t e}{\text{XXX}}$$200 \times \frac{x}{100} = 12$
Multiplying both sides by $\frac{100}{200}$(in order to eliminate the numbers with $x$),
$x = 12 \times \frac{100}{200} = 12 \times \frac{1 \cancel{00}}{2 \cancel{00}} = \frac{12}{2} = 6$