For the given question which is;
17% of what number is 60?
We shall begin by determining the value of the number. Let us call the number a.
We can now set up the following equation;
![\begin{gathered} 17\text{ \% of a}=60 \\ 0.17* a=60 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/5vvbab0ra2zpu8svj1nbj9x8fnv2a6kszb.png)
We now divide both sides by 0.17;
![\begin{gathered} (0.17a)/(0.17)=(60)/(0.17) \\ a=352.9411 \\ \text{Rounded to the nearest whole number,} \\ a=353 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/mbv6ffzpwv8aqmo7r9s9yksp3rsy55tgz9.png)
So we now have;
"17% of 353 is 60."
The rate is the variable that represents part of the whole and that is 17
The base is the whole number itself which is a 100% value and that is 353
The portion is that part of the whole (base) made up of 17% and that is 60."
ANSWER:
Rate is 17%
Base is 353
Portion is 60