Finding the total amount given the percentage of a partial amount
In a recent year, $28 \%$ of all college students were enrolled part-time. If 6.6 million college students were enrolled part-time that year, what was the total number of college students?
Round your answer to the nearest million.
Answer
So, the total number of college students is approximately \(\boxed{24}\) million.
Step 1 ：The problem provides that 28% of all college students were enrolled part-time, and the number of part-time students was 6.6 million. We are asked to find the total number of college students.
Step 2 ：We can set up a proportion to solve this problem. The proportion is 28% (or 0.28) is to 6.6 million as 100% (or 1) is to the total number of students.
Step 3 ：We can solve for the total number of students by dividing 6.6 million by 0.28. In mathematical terms, this can be expressed as \( \frac{6.6}{0.28} \).
Step 4 ：Performing the division gives us approximately 23.57142857142857 million.
Step 5 ：Rounding this to the nearest million, we get 24 million.
Step 6 ：So, the total number of college students is approximately \(\boxed{24}\) million.
