Question

A decorator has 77 clients, 30% of whom are businesses. How many business clients are there?

Answer 1

The decorator has 23 business clients.

Explanation:

We can rewrite this problem as: What is 30% of 77?

"Percent" or "%" means "out of 100" or "per 100", Therefore 30% can be written as `30/100`.

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:

`n = 30/100 xx 77`

`n = 2310/100`

`n = 23.1`

Because you can not have a partial client we need to round to `n = 23`