Question

33% of what number is 66?

Answer 1

Let `x` be that number hence

`33%*x=66`

`33/100*x=66`

`x/100=66/33`

`x/100=2`

`x=200`

Answer 2

33% of 200 is 66.

Explanation:

This can be written as "33% of x is 66"

"Percent" or "%" means "out of 100" or "per 100", Therefore 33% can be written as `33/100` and this problem can be restated as:

`33/100 of x is 66`

When dealing with percents the word "of" means "times" or "to multiply". So we can again restate this as:

`33/100 xx x = 66`

Solving for `x` while keeping the equation balanced gives:

`100/33 xx 33/100 xx x = 100/33 xx 66`

`1 xx x = 6600/33`

`x = 200`