86.08 is what percent of 8.07 - 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 8.07 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 8.07, so we can write it down as 100%=8.07.
4. We know, that x% equals 86.08 of the output value, so we can write it down as x%=86.08.
5. Now we have two simple equations:
1) 100%=8.07
2) x%=86.08
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%=8.07/86.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.08 is what percent of 8.07

100%/x%=8.07/86.08
(100/x)*x=(8.07/86.08)*x       - we multiply both sides of the equation by x
100=0.09375*x       - we divide both sides of the equation by (0.09375) to get x
100/0.09375=x
1066.6666666667=x
x=1066.6666666667

now we have:
86.08 is 1066.6666666667% of 8.07