820 is 13 percent of what number?


"820 is 13 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 13 percent of number (x), you will get 820. Thus, you can illustrate the problem "820 is 13 percent of what number (x)" like this:

13% of x = 820

To calculate 13 percent of a number, we multiply the number by 13 and then divide by 100. Therefore, we can make the following function:

   
13 ∗ x
 
   
100
  =  820  

To solve for x, we first multiply both sides by 100 and then divide both sides by 13 to get the x = 6307.69. Therefore, the answer to 820 is 13 percent of what number? is:

6307.69


If we substitue "what number" in the question "820 is 13 percent of what number?" with 6307.69, we get this sentence: 820 is 13 percent of 6307.69. Since this statement is true, we know that our answer is correct.

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