# 37.5 is 60% of what number?

##### 2 Answers

37.5 is 60% of 62.5#

#### Explanation:

First, let's call the number we are looking for

"Percent" or "%" means "out of 100" or "per 100", Therefore 60% can be written as

When dealing with percents the word "of" means "times" or "to multiply".

So, putting this all together allows us to write the following equation and solve for

The number is 62.5

#### Explanation:

% is units of measurement and % is worth

So

Using the principle of ratios, which really is the same thing as

smendyker used. It just looks different.

Consider

Let the unknown value be

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These are ratios and equivalent to each other (

Then if I maintain the ratio but change the 60 into 37.5 I will find out what

Step 1: change 60 into 1

Step 2: multiply the 1 by 37.5

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Multiply by 1 but in the form of

So the number is 62.5

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That is: