If 100=120% of x, what is x?

1 Answer
Apr 15, 2018

#83.bar3#

Explanation:

Let's rearrange the question into an equation.

Here are some tips to start:

  1. The word "of" means multiplication, so you can just put a #xx# sign wherever you see the word "of".
  2. #120%# is the same as #120/100# as a fraction or #1.20# as a decimal. I'll be using the decimal form in the equation.

Original:
#100 = 120%# of #x#

New:
#100 = 1.2xxx#

Divide both sides by #1.2# to isolate #x#.

#100 = 1.2x#

#100/1.2 = (cancel(1.2)x)/cancel1.2#

#83.bar3 = x#

The line over the #3 indicates that it repeats forever.