9.5 is what percent of 37.25 - 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 37.25 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 37.25, so we can write it down as 100%=37.25.
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%=37.25
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%=37.25/9.5
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 37.25

100%/x%=37.25/9.5
(100/x)*x=(37.25/9.5)*x       - we multiply both sides of the equation by x
100=3.9210526315789*x       - we divide both sides of the equation by (3.9210526315789) to get x
100/3.9210526315789=x
25.503355704698=x
x=25.503355704698

now we have:
9.5 is 25.503355704698% of 37.25