420 is 32 percent of what number?


"420 is 32 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 32 percent of number (x), you will get 420. Thus, you can illustrate the problem "420 is 32 percent of what number (x)" like this:

32% of x = 420

To calculate 32 percent of a number, we multiply the number by 32 and then divide by 100. Therefore, we can make the following function:

   
32 ∗ x
 
   
100
  =  420  

To solve for x, we first multiply both sides by 100 and then divide both sides by 32 to get the x = 1312.5. Therefore, the answer to 420 is 32 percent of what number? is:

1312.5


If we substitue "what number" in the question "420 is 32 percent of what number?" with 1312.5, we get this sentence: 420 is 32 percent of 1312.5. Since this statement is true, we know that our answer is correct.

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