166 is 15 percent of what number? (15% of what number is 166?)

166 is 15 percent of what number?

"166 is 15 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 15 percent of number (x), you will get 166. Thus, you can illustrate the problem "166 is 15 percent of what number (x)" like this:

15% of x = 166

To calculate 15 percent of a number, we multiply the number by 15 and then divide by 100. Therefore, we can make the following function:

		15 ∗ x
		100

= 166

To solve for x, we first multiply both sides by 100 and then divide both sides by 15 to get the x = 1106.67. Therefore, the answer to 166 is 15 percent of what number? is:

1106.67

If we substitue "what number" in the question "166 is 15 percent of what number?" with 1106.67, we get this sentence: 166 is 15 percent of 1106.67. Since this statement is true, we know that our answer is correct.

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