18 is 150% of what number?

2 Answers
Nov 3, 2017

=18/1.5 = 12

Explanation:

If you divide your final number by 1.5 (since 150% equals to 1.5), you can get your starting number, which is 12.

18/1.5 = 12

This is your answer (12).

Nov 3, 2017

12

Explanation:

If we call the number we're looking for x, we can translate the question into the following mathematical statement:

18=150%x

150% can be written as the fraction 150/100, which reduces down to 3/2. Using that, we can rewrite our equation as

18=3/2x

and multiply both sides by the reciprocal of 3/2, 2/3, to obtain

(2/3)18=x
(2*18)/3=x
(2*cancel(18)6)/(cancel(3)1)=x
2*6=x

x=12