362 is 11 percent of what number?


"362 is 11 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 11 percent of number (x), you will get 362. Thus, you can illustrate the problem "362 is 11 percent of what number (x)" like this:

11% of x = 362

To calculate 11 percent of a number, we multiply the number by 11 and then divide by 100. Therefore, we can make the following function:

   
11 ∗ x
 
   
100
  =  362  

To solve for x, we first multiply both sides by 100 and then divide both sides by 11 to get the x = 3290.91. Therefore, the answer to 362 is 11 percent of what number? is:

3290.91


If we substitue "what number" in the question "362 is 11 percent of what number?" with 3290.91, we get this sentence: 362 is 11 percent of 3290.91. Since this statement is true, we know that our answer is correct.

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