Question

120 is what percent of 40?

Answer 1

120 is 300% of 40.

Explanation:

Let's call the percent we are looking for `x`:

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

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

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

`120 = x/100 xx 40`

`100/40 xx 120 = 100/40 xx x/100 xx 40`

`12000/40 = cancel(100)/cancel(40) xx x/cancel(100) xx cancel(40)`

`300 = x`