49.5 is what percent of 132?

1 Answer
Dec 8, 2016

Answer:

49.5 is 37.5% of 132

Explanation:

First, lets call the percent we are looking for "n".

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

#49.5 = n/100 xx 132#

#100/132 xx 49.5 = 100/132 xx n/100 xx 132#

#4950/132 = cancel(100)/cancel(132) xx n/cancel(100) xx cancel(132)#

#37.5= n#