120 is what percent of 40?

1 Answer
Dec 9, 2016

Answer:

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#