What is 8.2 percent of 8.2 - 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 8.2 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 8.2 is 100%, so we can write it down as 8.2=100%.
4. We know, that x is 8.2% of the output value, so we can write it down as x=8.2%.
5. Now we have two simple equations:
1) 8.2=100%
2) x=8.2%
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:
8.2/x=100%/8.2%
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 8.2% of 8.2

8.2/x=100/8.2
(8.2/x)*x=(100/8.2)*x       - we multiply both sides of the equation by x
8.2=12.19512195122*x       - we divide both sides of the equation by (12.19512195122) to get x
8.2/12.19512195122=x
0.6724=x
x=0.6724

now we have:
8.2% of 8.2=0.6724