What percent of 75 is 15?

Translates to:

\(75\,*\,x\,=15\\ x\%=\frac{15}{75}\\ x=0.2\\ 0.2 = 20\% \)

**Tips:**

I'll use the same numbers for each example.

**Three variants**

What percent of 100 is 40?

*oldnum * {percent} = newnum*

*(What percent of the original number [100] gives you the new number [40]?)*

100 * ? = 40

? = 40/100

? = 0.4

0.4 --> 40%

What is 40% of 100?

*oldnum * percent = {newnum}*

*([40] percent of the original number [100] results in what number?)*

100 * 40% = ?

40% --> 0.4

100 * 0.4 = 40

40% of what is 40?

*{oldnum} * percent = newnum*

*([40] percent of what number gives you the new number [40])?*

? * 40% = 40

40% --> 0.4

? * 0.4 = 40

? = 40/0.4

? = 100

*this was hard for me at first, but with practice, you'll get used to the wording of the questions