# In a recent survey, 248 students or 32% of the sample said they worked part time during the summer. How many students were surveyed?

Dec 8, 2016

There were 775 student surveyed.

#### Explanation:

This question can be rewritten as:

248 is 32% of what?

"Percent" or "%" means "out of 100" or "per 100", Therefore 32% can be written as $\frac{32}{100}$.

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

Finally, lets call the number we are looking for "n".

Putting this altogether we can write this equation and solve for $n$ while keeping the equation balanced:

$248 = \frac{32}{100} \times n$

$\frac{100}{32} \times 248 = \frac{100}{32} \times \frac{32}{100} \times n$

$\frac{24800}{32} = \frac{\cancel{100}}{\cancel{32}} \times \frac{\cancel{32}}{\cancel{100}} \times n$

$775 = n$