164 is 31 percent of what number?


"164 is 31 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 31 percent of number (x), you will get 164. Thus, you can illustrate the problem "164 is 31 percent of what number (x)" like this:

31% of x = 164

To calculate 31 percent of a number, we multiply the number by 31 and then divide by 100. Therefore, we can make the following function:

   
31 ∗ x
 
   
100
  =  164  

To solve for x, we first multiply both sides by 100 and then divide both sides by 31 to get the x = 529.03. Therefore, the answer to 164 is 31 percent of what number? is:

529.03


If we substitue "what number" in the question "164 is 31 percent of what number?" with 529.03, we get this sentence: 164 is 31 percent of 529.03. Since this statement is true, we know that our answer is correct.

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