8.07 is what percent of 118.66 - 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 118.66 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 118.66, so we can write it down as 100%=118.66.
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%=118.66
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%=118.66/8.07
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 118.66

100%/x%=118.66/8.07
(100/x)*x=(118.66/8.07)*x       - we multiply both sides of the equation by x
100=14.703841387856*x       - we divide both sides of the equation by (14.703841387856) to get x
100/14.703841387856=x
6.8009438732513=x
x=6.8009438732513

now we have:
8.07 is 6.8009438732513% of 118.66