Question

49.5 is what percent of 132?

Answer 1

49.5 is 37.5% of 132

Explanation:

First, lets call the percent we are looking for "n".

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

`49.5 = n/100 xx 132`

`100/132 xx 49.5 = 100/132 xx n/100 xx 132`

`4950/132 = cancel(100)/cancel(132) xx n/cancel(100) xx cancel(132)`

`37.5= n`