# What percent of 50 is 140?

Aug 28, 2017

See a solution process below:

#### Explanation:

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

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

We can now write this equation and solve for $x$:

$\frac{x}{100} = \frac{140}{50}$

$\textcolor{red}{100} \times \frac{x}{100} = \textcolor{red}{100} \times \frac{140}{50}$

$\cancel{\textcolor{red}{100}} \times \frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} = \cancel{\textcolor{red}{100}} 2 \times \frac{140}{\textcolor{red}{\cancel{\textcolor{b l a c k}{50}}}}$

$x = 280$

140 is color(red)(280%) of $50$

Aug 28, 2017

280%

#### Explanation:

The question is probably easier to read if it is given as:

What percent is $140 \text{ out of } 50$?

To find what percent one value is of another, use the following:

"fraction" xx 100%

140/50 xx10280%

=280%

Note that multiplying by 100% is the same as $\times \frac{100}{100}$ which is equal to $1$. This does not affect the value of the fraction, only what it looks like.