478 is 32 percent of what number? (32% of what number is 478?)

478 is 32 percent of what number?

"478 is 32 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 32 percent of number (x), you will get 478. Thus, you can illustrate the problem "478 is 32 percent of what number (x)" like this:

32% of x = 478

To calculate 32 percent of a number, we multiply the number by 32 and then divide by 100. Therefore, we can make the following function:

		32 ∗ x
		100

= 478

To solve for x, we first multiply both sides by 100 and then divide both sides by 32 to get the x = 1493.75. Therefore, the answer to 478 is 32 percent of what number? is:

1493.75

If we substitue "what number" in the question "478 is 32 percent of what number?" with 1493.75, we get this sentence: 478 is 32 percent of 1493.75. Since this statement is true, we know that our answer is correct.

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