401 is 34 percent of what number?


"401 is 34 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 34 percent of number (x), you will get 401. Thus, you can illustrate the problem "401 is 34 percent of what number (x)" like this:

34% of x = 401

To calculate 34 percent of a number, we multiply the number by 34 and then divide by 100. Therefore, we can make the following function:

   
34 ∗ x
 
   
100
  =  401  

To solve for x, we first multiply both sides by 100 and then divide both sides by 34 to get the x = 1179.41. Therefore, the answer to 401 is 34 percent of what number? is:

1179.41


If we substitue "what number" in the question "401 is 34 percent of what number?" with 1179.41, we get this sentence: 401 is 34 percent of 1179.41. Since this statement is true, we know that our answer is correct.

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