# 73% of what is 156.4?

Jan 14, 2017

$x = 214.25$

#### Explanation:

73% means $\frac{73}{100}$

Let 73% of $x$ be $156.4$

This means $\frac{73}{100}$ of $x$ is $156.4$ and in equation form, we can write it as

$\frac{73}{100} \times x = 156.4 = \frac{1564}{10}$

or $\frac{73}{100} \times \frac{100}{73} \times x = \frac{1564}{10} \times \frac{100}{73}$

or $x = \frac{1564}{10} \times \frac{100}{73}$

As $73$ is a prime number and $1564$ is not a multiple of $73$,

we have to use a calculator and using it to calculate (up to 2dp)

$x = 214.25$