# One day, 32 of 80 people wore a red shirt to school. What percent of the 80 people did not wear a red shirt to school?

##### 2 Answers

60 percent

#### Explanation:

Let me start with finding number of people who wore other colored shirt:

Therefore, 48 out of 80 people wore other colored shirt.

As percentage this is:

Your answer is 60%.

A lot of detail given to help understanding. Normally a calculation of this type would only take a few lines.

#### Explanation:

Percentage is basically just another fraction. Although, it is a special fraction in that the bottom number (denominator) is fixed at 100.

If the count of red shirts is 32 then the non red shirt count is

So this count as a fraction of the whole is

But for this to be a percentage we need the bottom number (denominator) to be 100. So we write as an 'equivalent fraction'.

Let the unknown count be

To find the value of the top number (numerator) of

Multiply both sides by color(red)(100)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So