# What percent of 48 is 30?

Mar 11, 2017

"Percent" or "%" means "out of 100" or "per 100", Let's call the percent we are looking for $x$. Therefore x% can be written as $\frac{x}{100}$.

We can write this as:

$\frac{x}{100} = \frac{30}{48}$

Now, solve for $x$ by multiplying each side of the equation by $\textcolor{red}{100}$

$\textcolor{red}{100} \times \frac{x}{100} = \textcolor{red}{100} \times \frac{30}{48}$

$\cancel{\textcolor{red}{100}} \times \frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} = \frac{3000}{48}$

$x = 62.5$

30 is color(red)(62.5%) of 48