22% of what number is 33?

1 Answer
Nov 17, 2016

Answer:

22% of 150 = 33.

Explanation:

First, let's call "what number" #n#. And let's change is to "=" which is what it means.

We can then write: #22% of n = 33#

Also, percent or % means "per 100" or "out of 100" so we can change 22% to 22/100. And when dealing with percents, "0f" means the same as multiply or times. So we can change the problem as follows and solve for #n# while keeping the equation balanced:

#22/100 xx n = 33#

#100/22 xx 22/100 xx n = 100/22 xx 33#

#n = 3300/22#

#n = 150#