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

1 Answer
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