# 16 3/2% of what is 84?

Sep 28, 2016

$480$

#### Explanation:

We can find the $n$th percentage of any number $x$ in the following way:

$\implies$ n% of $x = \frac{x}{100} \cdot n$

In this case, we have $n$ and we know the value:

$\implies 84 = \frac{x}{100} \cdot 16 \frac{3}{2}$

$\implies 84 = \frac{x}{100} \cdot \frac{35}{2}$

$\implies 84 = \frac{35 x}{200}$

$\implies 16 , 800 = 35 x$

$\implies 480 = x$

$\implies x = 480$

Therefore, 16 (3) / (2) % of $480$ is equal to $84$.