If 9% of a number is 18, what is the number?

1 Answer
Alan P.
Feb 6, 2017

The number is #200#

Explanation:

Let the number be #x#

#9# percent of the number means
#color(white)("XXX")9/100 xx x#

So if #18# is #9# percent of the number:
#color(white)("XXXXXXXXXX")18=color(white)("XXXX")9/100 xx x#

#color(white)("XXX")rarr 100/9 xx 18 = 100/9 xx 9/100 xx x#

#color(white)("XXX")rarr 100/cancel(9) xx cancel(18)^2 = cancel(100)/cancel(9) xx cancel(9)/cancel(100) xx x#

#color(white)("XXX")rarrcolor(white)("XXXXX")200 = color(white)("XXXXXXXXX")x#

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