20 is the answer.
Explanation:
Take a look at the given question,
"75% of what number is 15"
Let's substitute this "what number" as "x"
%
![* x = 15](https://img.qammunity.org/2023/formulas/mathematics/high-school/teknaocdkm5ap5agm6ztjkmarwt9n0y2ig.png)
![→x = (15)/(75 \: percent)](https://img.qammunity.org/2023/formulas/mathematics/high-school/dsj93pauok5ul3jdnhplal2x8f3aj94g72.png)
![→x = (15)/( (75)/(100) )](https://img.qammunity.org/2023/formulas/mathematics/high-school/jfwl3xia53rkpf82qvw6pns6gjbj8t0nxd.png)
![→x = (15)/(0.75)](https://img.qammunity.org/2023/formulas/mathematics/high-school/zqgmtmpit7gsqus4a2sqbb12tedp3kuuf7.png)
To make the denominator as positive for making calculations more easy, we get,
![x = (15 * 100)/(0.75 * 100)](https://img.qammunity.org/2023/formulas/mathematics/high-school/b2huv192vvhyjj9uh9b52ww7s86h154irl.png)
![→x = (1500)/(75)](https://img.qammunity.org/2023/formulas/mathematics/high-school/3ilgu9uvt783clbgtyrbu8h57rm5to62rb.png)
Now after doing the division, we get,
![x = 20](https://img.qammunity.org/2023/formulas/mathematics/high-school/a55ebt970ji8hjgthnyqb06fgorebeikd1.png)
Hence, 75% of 20 is 15.