9.5 is what percent of 22.75 - 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 22.75 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 22.75, so we can write it down as 100%=22.75.
4. We know, that x% equals 9.5 of the output value, so we can write it down as x%=9.5.
5. Now we have two simple equations:
1) 100%=22.75
2) x%=9.5
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%=22.75/9.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.5 is what percent of 22.75

100%/x%=22.75/9.5
(100/x)*x=(22.75/9.5)*x       - we multiply both sides of the equation by x
100=2.3947368421053*x       - we divide both sides of the equation by (2.3947368421053) to get x
100/2.3947368421053=x
41.758241758242=x
x=41.758241758242

now we have:
9.5 is 41.758241758242% of 22.75