475 is 13 percent of what number?


"475 is 13 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 13 percent of number (x), you will get 475. Thus, you can illustrate the problem "475 is 13 percent of what number (x)" like this:

13% of x = 475

To calculate 13 percent of a number, we multiply the number by 13 and then divide by 100. Therefore, we can make the following function:

   
13 ∗ x
 
   
100
  =  475  

To solve for x, we first multiply both sides by 100 and then divide both sides by 13 to get the x = 3653.85. Therefore, the answer to 475 is 13 percent of what number? is:

3653.85


If we substitue "what number" in the question "475 is 13 percent of what number?" with 3653.85, we get this sentence: 475 is 13 percent of 3653.85. Since this statement is true, we know that our answer is correct.

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