405 is 15 percent of what number?


"405 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 405. Thus, you can illustrate the problem "405 is 15 percent of what number (x)" like this:

15% of x = 405

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
  =  405  

To solve for x, we first multiply both sides by 100 and then divide both sides by 15 to get the x = 2700. Therefore, the answer to 405 is 15 percent of what number? is:

2700


If we substitue "what number" in the question "405 is 15 percent of what number?" with 2700, we get this sentence: 405 is 15 percent of 2700. Since this statement is true, we know that our answer is correct.

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