What is 16.43 percent of 82.13 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 82.13 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 82.13 is 100%, so we can write it down as 82.13=100%.
4. We know, that x is 16.43% of the output value, so we can write it down as x=16.43%.
5. Now we have two simple equations:
1) 82.13=100%
2) x=16.43%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
82.13/x=100%/16.43%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 16.43% of 82.13

82.13/x=100/16.43
(82.13/x)*x=(100/16.43)*x       - we multiply both sides of the equation by x
82.13=6.0864272671942*x       - we divide both sides of the equation by (6.0864272671942) to get x
82.13/6.0864272671942=x
13.493959=x
x=13.493959

now we have:
16.43% of 82.13=13.493959