# 27 is what percent of 75?

Mar 16, 2018

See a solution process below:

#### Explanation:

"Percent" or "%" means "out of 100" or "per 100",

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

So we can write and solve for $x$;

$\frac{27}{75} = \frac{x}{100}$

$\textcolor{red}{100} \times \frac{27}{75} = \textcolor{red}{100} \times \frac{x}{100}$

$\frac{2700}{75} = \cancel{\textcolor{red}{100}} \times \frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}}$

$36 = x$

27/75 = 36/100 = 36%

Mar 16, 2018

36%

#### Explanation:

You can solve it with an analogy.

$27$ out of $75$
$x$ out of $100$

$75 x = 2700$
$x = \frac{2700}{75}$
$x = 36$

Therefore $27$ is 36% of $75$.
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