What is 13.82 percent of 13.82 - 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 13.82 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 13.82 is 100%, so we can write it down as 13.82=100%.
4. We know, that x is 13.82% of the output value, so we can write it down as x=13.82%.
5. Now we have two simple equations:
1) 13.82=100%
2) x=13.82%
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:
13.82/x=100%/13.82%
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 13.82% of 13.82

13.82/x=100/13.82
(13.82/x)*x=(100/13.82)*x       - we multiply both sides of the equation by x
13.82=7.2358900144718*x       - we divide both sides of the equation by (7.2358900144718) to get x
13.82/7.2358900144718=x
1.909924=x
x=1.909924

now we have:
13.82% of 13.82=1.909924