16 3/2% of what is 84?

Question

3365 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-28T00:29:42

$480$

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

$=>$ $n%$ of $x= (x) / (100) cdot n$

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

$=> 84 = (x) / (100) cdot 16 (3) / (2)$

$=> 84 = (x) / (100) cdot (35) / (2)$

$=> 84 = (35 x) / (200)$

$=> 16,800 = 35 x$

$=> 480 = x$

$=> x = 480$

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