18.09 is 26.8% of what number?

1 Answer
Dec 5, 2016

Answer:

18.09 is 26.8% of 67.5

Explanation:

Let's call the number we are looking for #n#. We can then write this problem as;

18.09 is 26.8% of #n#

"Percent" or "%" means "out of 100" or "per 100", Therefore 26.8% can be written as #26.8/100#.

When dealing with percents the word "of" means "times" or "to multiply".

Putting this altogether we can write this equation and solve for #n# while keeping the equation balanced:

#18.09 = 26.8/100 xx n#

#18.09 * 100/26.8 = 100/26.8 26.8/100 xx n#

#1809/26.8 = cancel(100)/cancel(26.8) cancel(26.8)/cancel(100) xx n#

#67.5 = n#