82 is 31 percent of what number? (31% of what number is 82?)

82 is 31 percent of what number?

"82 is 31 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 31 percent of number (x), you will get 82. Thus, you can illustrate the problem "82 is 31 percent of what number (x)" like this:

31% of x = 82

To calculate 31 percent of a number, we multiply the number by 31 and then divide by 100. Therefore, we can make the following function:

		31 ∗ x
		100

= 82

To solve for x, we first multiply both sides by 100 and then divide both sides by 31 to get the x = 264.52. Therefore, the answer to 82 is 31 percent of what number? is:

264.52

If we substitue "what number" in the question "82 is 31 percent of what number?" with 264.52, we get this sentence: 82 is 31 percent of 264.52. Since this statement is true, we know that our answer is correct.

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