406 is 6 percent of what number? (6% of what number is 406?)

406 is 6 percent of what number?

"406 is 6 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 6 percent of number (x), you will get 406. Thus, you can illustrate the problem "406 is 6 percent of what number (x)" like this:

6% of x = 406

To calculate 6 percent of a number, we multiply the number by 6 and then divide by 100. Therefore, we can make the following function:

		6 ∗ x
		100

= 406

To solve for x, we first multiply both sides by 100 and then divide both sides by 6 to get the x = 6766.67. Therefore, the answer to 406 is 6 percent of what number? is:

6766.67

If we substitue "what number" in the question "406 is 6 percent of what number?" with 6766.67, we get this sentence: 406 is 6 percent of 6766.67. Since this statement is true, we know that our answer is correct.

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