8 is what percent of 9.125 - 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 9.125 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 9.125, so we can write it down as 100%=9.125.
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%=9.125
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%=9.125/8
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 9.125

100%/x%=9.125/8
(100/x)*x=(9.125/8)*x       - we multiply both sides of the equation by x
100=1.140625*x       - we divide both sides of the equation by (1.140625) to get x
100/1.140625=x
87.671232876712=x
x=87.671232876712

now we have:
8 is 87.671232876712% of 9.125