56 is 30 percent of what number?


"56 is 30 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 30 percent of number (x), you will get 56. Thus, you can illustrate the problem "56 is 30 percent of what number (x)" like this:

30% of x = 56

To calculate 30 percent of a number, we multiply the number by 30 and then divide by 100. Therefore, we can make the following function:

   
30 ∗ x
 
   
100
  =  56  

To solve for x, we first multiply both sides by 100 and then divide both sides by 30 to get the x = 186.67. Therefore, the answer to 56 is 30 percent of what number? is:

186.67


If we substitue "what number" in the question "56 is 30 percent of what number?" with 186.67, we get this sentence: 56 is 30 percent of 186.67. Since this statement is true, we know that our answer is correct.

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