465 is 16 percent of what number? (16% of what number is 465?)

465 is 16 percent of what number?

"465 is 16 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 16 percent of number (x), you will get 465. Thus, you can illustrate the problem "465 is 16 percent of what number (x)" like this:

16% of x = 465

To calculate 16 percent of a number, we multiply the number by 16 and then divide by 100. Therefore, we can make the following function:

		16 ∗ x
		100

= 465

To solve for x, we first multiply both sides by 100 and then divide both sides by 16 to get the x = 2906.25. Therefore, the answer to 465 is 16 percent of what number? is:

2906.25

If we substitue "what number" in the question "465 is 16 percent of what number?" with 2906.25, we get this sentence: 465 is 16 percent of 2906.25. Since this statement is true, we know that our answer is correct.

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