Question

18.09 is 26.8% of what number?

Answer 1

18.09 is 26.8% of 67.5

Explanation:

Let's call the number we are looking for `n`. We can then write this problem as;

18.09 is 26.8% of `n`

"Percent" or "%" means "out of 100" or "per 100", Therefore 26.8% can be written as `26.8/100`.

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

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

`18.09 = 26.8/100 xx n`

`18.09 * 100/26.8 = 100/26.8 26.8/100 xx n`

`1809/26.8 = cancel(100)/cancel(26.8) cancel(26.8)/cancel(100) xx n`

`67.5 = n`