9.56 is what percent of 107.37 - 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 107.37 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 107.37, so we can write it down as 100%=107.37.
4. We know, that x% equals 9.56 of the output value, so we can write it down as x%=9.56.
5. Now we have two simple equations:
1) 100%=107.37
2) x%=9.56
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%=107.37/9.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.56 is what percent of 107.37

100%/x%=107.37/9.56
(100/x)*x=(107.37/9.56)*x       - we multiply both sides of the equation by x
100=11.231171548117*x       - we divide both sides of the equation by (11.231171548117) to get x
100/11.231171548117=x
8.9037906305299=x
x=8.9037906305299

now we have:
9.56 is 8.9037906305299% of 107.37