Question

What percent of 48 is 30?

Answer 1

"Percent" or "%" means "out of 100" or "per 100", Let's call the percent we are looking for `x`. Therefore x% can be written as `x/100`.

We can write this as:

`x/100 = 30/48`

Now, solve for `x` by multiplying each side of the equation by `color(red)(100)`

`color(red)(100) xx x/100 = color(red)(100) xx 30/48`

`cancel(color(red)(100)) xx x/color(red)(cancel(color(black)(100))) = 3000/48`

`x = 62.5`

30 is `color(red)(62.5%)` of 48