19% of what is 117.5?

1 Answer
Zor Shekhtman
Jul 17, 2016

Approximately, #618.42#

Explanation:

Assume an unknown quantity is #X#.
Then #19%# (or #0.19#) of this quantity is #117.5#.

Therefore, we can represent it in an equation:
#0.19 * X = 117.5#

To solve this equation, recall that both sides of an equation can be divided by the same number not equal to 0 and get a new equation.
Let's divide both sides of our equation by #0.19#:

#(0.19*X)/0.19 = 117.5/0.19#

which can be transformed into
#X*0.19/0.19 = 117.5/0.19#

or, since #0.19/0.19=1# and #117.5/0.19~~618.42#,

#X ~~ 618.42#

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