9.75 is what percent of 8.5 - 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 8.5 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 8.5, so we can write it down as 100%=8.5.
4. We know, that x% equals 9.75 of the output value, so we can write it down as x%=9.75.
5. Now we have two simple equations:
1) 100%=8.5
2) x%=9.75
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%=8.5/9.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.75 is what percent of 8.5

100%/x%=8.5/9.75
(100/x)*x=(8.5/9.75)*x       - we multiply both sides of the equation by x
100=0.87179487179487*x       - we divide both sides of the equation by (0.87179487179487) to get x
100/0.87179487179487=x
114.70588235294=x
x=114.70588235294

now we have:
9.75 is 114.70588235294% of 8.5