16 is what percent of 82?




When you ask "16 is what percent of 82?" you are asking what share per hundred (percent) 16 is of 82 (16 is what % of 82?). To show you how to calculate the answer we start by displaying the percent formula below:

   
Whole × Percent
 
   
100
  =  Part  



In the problem "16 is what percent of 82?", 16 is the Part, 82 is the Whole, and Percent is what we are solving. When we enter the Whole and the Part in our formula, we get this:

   
82 × Percent
 
   
100
  =  16  



To solve for Percent, we first multiply both sides by 100 to get rid of the denominator on the left side:

   
82 × Percent × 100
 
   
100
  =  16 × 100  

 82 × Percent  
=  1600  



Next, we divide both sides by 82 to get Percent by itself on the left side:

   
82 × Percent
 
   
82
  =  
   
1600
 
   
82

  Percent  =  
   
1600
 
   
82



That's it! Above is the fractional answer to "16 is what percent of 82?". To get the decimal answer, you simply divide the numerator by the denominator. Thus, here is the final answer to "16 is what percent of 82?" in decimal percent form:

1600/82
= 19.5121951219512
≈ 19.5122%


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