9.125 is what percent of 9 - 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 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, so we can write it down as 100%=9.
4. We know, that x% equals 9.125 of the output value, so we can write it down as x%=9.125.
5. Now we have two simple equations:
1) 100%=9
2) x%=9.125
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%=9/9.125
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.125 is what percent of 9

100%/x%=9/9.125
(100/x)*x=(9/9.125)*x       - we multiply both sides of the equation by x
100=0.98630136986301*x       - we divide both sides of the equation by (0.98630136986301) to get x
100/0.98630136986301=x
101.38888888889=x
x=101.38888888889

now we have:
9.125 is 101.38888888889% of 9