120 is 40 percent of what number?


"120 is 40 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 40 percent of number (x), you will get 120. Thus, you can illustrate the problem "120 is 40 percent of what number (x)" like this:

40% of x = 120

To calculate 40 percent of a number, we multiply the number by 40 and then divide by 100. Therefore, we can make the following function:

   
40 ∗ x
 
   
100
  =  120  

To solve for x, we first multiply both sides by 100 and then divide both sides by 40 to get the x = 300. Therefore, the answer to 120 is 40 percent of what number? is:

300


If we substitue "what number" in the question "120 is 40 percent of what number?" with 300, we get this sentence: 120 is 40 percent of 300. Since this statement is true, we know that our answer is correct.

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