496 is 26 percent of what number?


"496 is 26 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 26 percent of number (x), you will get 496. Thus, you can illustrate the problem "496 is 26 percent of what number (x)" like this:

26% of x = 496

To calculate 26 percent of a number, we multiply the number by 26 and then divide by 100. Therefore, we can make the following function:

   
26 ∗ x
 
   
100
  =  496  

To solve for x, we first multiply both sides by 100 and then divide both sides by 26 to get the x = 1907.69. Therefore, the answer to 496 is 26 percent of what number? is:

1907.69


If we substitue "what number" in the question "496 is 26 percent of what number?" with 1907.69, we get this sentence: 496 is 26 percent of 1907.69. Since this statement is true, we know that our answer is correct.

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