Question

180 is what percent of 12?

Answer 1

180 is 1,500% of 12.

Explanation:

Let's call the percentage we are looking for `p%`

"Percent" or "%" means "out of 100" or "per 100", Therefore p% can be written as `9/100`.

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

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

`180 = p/100 xx 12`

`color(red)(100)/color(blue)(12) xx 180 = color(red)(100)/color(blue)(12) xx p/100 xx 12`

`18000/color(blue)(12) = cancel(color(red)(100))/cancel(color(blue)(12)) xx p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(12)))`

`18000/12 = p`

`1500 = p`

`p = 1500`