46 is 16 percent of what number?


"46 is 16 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 16 percent of number (x), you will get 46. Thus, you can illustrate the problem "46 is 16 percent of what number (x)" like this:

16% of x = 46

To calculate 16 percent of a number, we multiply the number by 16 and then divide by 100. Therefore, we can make the following function:

   
16 ∗ x
 
   
100
  =  46  

To solve for x, we first multiply both sides by 100 and then divide both sides by 16 to get the x = 287.5. Therefore, the answer to 46 is 16 percent of what number? is:

287.5


If we substitue "what number" in the question "46 is 16 percent of what number?" with 287.5, we get this sentence: 46 is 16 percent of 287.5. Since this statement is true, we know that our answer is correct.

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