8.2 is what percent of 12.39 - 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 12.39 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 100% equals 12.39, so we can write it down as 100%=12.39.
4. We know, that x% equals 8.2 of the output value, so we can write it down as x%=8.2.
5. Now we have two simple equations:
1) 100%=12.39
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:
100%/x%=12.39/8.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.2 is what percent of 12.39

100%/x%=12.39/8.2
(100/x)*x=(12.39/8.2)*x       - we multiply both sides of the equation by x
100=1.5109756097561*x       - we divide both sides of the equation by (1.5109756097561) to get x
100/1.5109756097561=x
66.182405165456=x
x=66.182405165456

now we have:
8.2 is 66.182405165456% of 12.39