Final answer:
To find the number of which 24 is 75 percent, we use the formula whole = part ÷ percent, resulting in the answer of 32. Therefore, 24 is 75 percent of 32.
Step-by-step explanation:
The student's question, "24 is 75 percent of what number?" is a classic example of a percent problem encountered in mathematics. To solve this, we can use the formula for percentage: part = percent × whole, where the part is 24 and the percent is 75% (or 0.75 in decimal form). The whole is the unknown number we are trying to find.
To find the whole, we rearrange the formula to whole = part ÷ percent. Substituting our values in, we get whole = 24 ÷ 0.75. After performing the division, we find that the whole number is 32.
Therefore, 24 is 75 percent of 32.