18 is 150% of what number?

Question

9820 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-03T08:55:44

#=18/1.5 = 12#

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).

Answer 2 · 2017-11-03T08:55:54

#12#

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#