Question

12 is what percent of 40?

Answer 1

`12` is `color(green)(30%)` of `40`

Explanation:

If `12` is `x%` of`40`
then
`color(white)("XXX")x/100 xx 40 =12`

`color(white)("XXX")40x=1200`

`color(white)("XXX")x=30`

Answer 2

`30%`

Explanation:

A fraction, a decimal and a percent are all equal and are all interchangeable....

`12/40 = 3/10 = 0.3 = 0.30 = 30/100 = 30%`

To change fraction or decimal form to percent, `xx 100%`

`12/40 xx 100%" "` you could cancel as shown in the next steps:

`cancel12^3/(cancel4cancel0) xx (10cancel0)%`

`3 xx10 % = 30%`

You can also do percentage questions using direct proportion - just compare the matching parts.

If `100%` represents `40`, what percent is `12`?

`x/100 = 12/40`

`x = (12xx100)/40`

`=30%`