What is 82.62 percent of 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 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 13 is 100%, so we can write it down as 13=100%.
4. We know, that x is 82.62% of the output value, so we can write it down as x=82.62%.
5. Now we have two simple equations:
1) 13=100%
2) x=82.62%
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:
13/x=100%/82.62%
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 82.62% of 13

13/x=100/82.62
(13/x)*x=(100/82.62)*x       - we multiply both sides of the equation by x
13=1.2103606874849*x       - we divide both sides of the equation by (1.2103606874849) to get x
13/1.2103606874849=x
10.7406=x
x=10.7406

now we have:
82.62% of 13=10.7406