8 is what percent of 86.6 - 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 86.6 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 86.6, so we can write it down as 100%=86.6.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=86.6
2) x%=8
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%=86.6/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 86.6

100%/x%=86.6/8
(100/x)*x=(86.6/8)*x       - we multiply both sides of the equation by x
100=10.825*x       - we divide both sides of the equation by (10.825) to get x
100/10.825=x
9.2378752886836=x
x=9.2378752886836

now we have:
8 is 9.2378752886836% of 86.6