# What percent of 33.5 is 21?

Mar 29, 2016

I found 62.7%

#### Explanation:

We can use the idea that a fraction in "real" world will have the same result in "%" world; so we can write:
$\frac{33.5}{21}$ will be the same as (100%)/(x%)
or:
33.5/21=(100%)/(x%)
rearrange:
x%=21/33.5*100%=62.68~~62.7%

hope it helps!

Mar 29, 2016

Percent is calculated using "part"/"whole" *100%

#### Explanation:

"Percent" literally means per hundred. It means, if we express a fraction in terms of 100, what would that fraction be? We do that using the formula:

"part"/"whole" *100%

In this case, we are asking for $\frac{21}{33.5}$ as a fraction of 100. so:

21/33.5 *100% = 62.687% (rounded to three decimal places)

Meaning that $\frac{21}{33.5}$ is the same as $\frac{62.687}{100}$

21 is 62.687% of 33.5.