# What percent of 200 is 340?

Let x be that percent hence

340*x%=200

$340 \cdot \frac{x}{100} = 200$

$3.4 \cdot x = 200$

$x = \frac{200}{3.4}$

$x = 58.8235294118$

Hence

$200$ is 58.8235294118% of $340$

Jan 29, 2017

170% of 200 = 340

#### Explanation:

Lets call the percent we are looking for "p".

"Percent" or "%" means "out of 100" or "per 100", Therefore p% can be written as $\frac{p}{100}$.

When dealing with percents the word "of" means "times" or "to multiply".

Putting this altogether we can write this equation and solve for $p$ while keeping the equation balanced:

$\frac{p}{100} \times 200 = 340$

$\frac{\textcolor{red}{100}}{\textcolor{b l u e}{200}} \times \frac{p}{100} \times 200 = \frac{\textcolor{red}{100}}{\textcolor{b l u e}{200}} \times 340$

$\frac{\cancel{\textcolor{red}{100}}}{\cancel{\textcolor{b l u e}{200}}} \times \frac{p}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} \times \textcolor{b l u e}{\cancel{\textcolor{b l a c k}{200}}} = \frac{34000}{\textcolor{b l u e}{200}}$

$p = 170$