8.07 is what percent of 126.18 - 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 126.18 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 126.18, so we can write it down as 100%=126.18.
4. We know, that x% equals 8.07 of the output value, so we can write it down as x%=8.07.
5. Now we have two simple equations:
1) 100%=126.18
2) x%=8.07
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%=126.18/8.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.07 is what percent of 126.18

100%/x%=126.18/8.07
(100/x)*x=(126.18/8.07)*x       - we multiply both sides of the equation by x
100=15.635687732342*x       - we divide both sides of the equation by (15.635687732342) to get x
100/15.635687732342=x
6.3956252971945=x
x=6.3956252971945

now we have:
8.07 is 6.3956252971945% of 126.18