478 is 17 percent of what number?


"478 is 17 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 17 percent of number (x), you will get 478. Thus, you can illustrate the problem "478 is 17 percent of what number (x)" like this:

17% of x = 478

To calculate 17 percent of a number, we multiply the number by 17 and then divide by 100. Therefore, we can make the following function:

   
17 ∗ x
 
   
100
  =  478  

To solve for x, we first multiply both sides by 100 and then divide both sides by 17 to get the x = 2811.76. Therefore, the answer to 478 is 17 percent of what number? is:

2811.76


If we substitue "what number" in the question "478 is 17 percent of what number?" with 2811.76, we get this sentence: 478 is 17 percent of 2811.76. Since this statement is true, we know that our answer is correct.

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