825 is 15 percent of what number?


"825 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 825. Thus, you can illustrate the problem "825 is 15 percent of what number (x)" like this:

15% of x = 825

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
  =  825  

To solve for x, we first multiply both sides by 100 and then divide both sides by 15 to get the x = 5500. Therefore, the answer to 825 is 15 percent of what number? is:

5500


If we substitue "what number" in the question "825 is 15 percent of what number?" with 5500, we get this sentence: 825 is 15 percent of 5500. Since this statement is true, we know that our answer is correct.

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