# 12 is what percent of 40?

Oct 11, 2016

$12$ is color(green)(30%) of $40$

#### Explanation:

If $12$ is x% of$40$
then
$\textcolor{w h i t e}{\text{XXX}} \frac{x}{100} \times 40 = 12$

$\textcolor{w h i t e}{\text{XXX}} 40 x = 1200$

$\textcolor{w h i t e}{\text{XXX}} x = 30$

Oct 11, 2016

30%

#### Explanation:

A fraction, a decimal and a percent are all equal and are all interchangeable....

12/40 = 3/10 = 0.3 = 0.30 = 30/100 = 30%

To change fraction or decimal form to percent, xx 100%

12/40 xx 100%" " you could cancel as shown in the next steps:

cancel12^3/(cancel4cancel0) xx (10cancel0)%

3 xx10 % = 30%

You can also do percentage questions using direct proportion - just compare the matching parts.

If 100% represents $40$, what percent is $12$?

$\frac{x}{100} = \frac{12}{40}$

$x = \frac{12 \times 100}{40}$

=30%