# What is 20% of 46.60?

Jun 21, 2018

$9.32$

#### Explanation:

As a generic approach, a percentage is always a ratio. x% simply means $\frac{x}{100}$.

So, if you want to compute the x% of a certain number $n$, you only need to multiply $n$ and $\frac{x}{100}$, obtaining

$\frac{n x}{100}$.

So, you may say that the 20% of $46.60$ is

$\setminus \frac{46.60 \cdot 20}{100}$

However, some percentages are "easy", in the sense that they can be easily computed. For example, 50% is a half, so instead of multiplying by $\frac{50}{100}$, you can simply divide by $2$.

By the same logic, you have $\frac{20}{100} = \frac{1}{5}$, which means that the 20% of something is one fifth of that something. So, it might be easier to compute

$\frac{46.60}{5} = 9.32$