# 50 is 125% of what number?

##### 2 Answers

40

#### Explanation:

I like to solve these problems by translating it into math. The key words in this question are **is** and **of**. **Is** can be translated to **of** can be translated into multiplication. With these kinds of problems it's good to say "of means multiply". Now **what number** can be translated into a variable, I'll just use

Now we'll need to turn

So using that let's try to turn this into a problem we can solve for.

#### Explanation:

Percentage can be presented in 2 ways.

Normally written in the form as

For mathematical purposes as

Let the unknown value be

The word in the question "of" really means multiply.

This is a bit like 2 of apples

So 125% of unknown value is:

We are told that the answer to this is 50 so we have

To get

What you do to 1 side of an equation you do to the other side.

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Multiply both side by

But