107.58 is what percent of 1195.16 - 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 1195.16 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 1195.16, so we can write it down as 100%=1195.16.
4. We know, that x% equals 107.58 of the output value, so we can write it down as x%=107.58.
5. Now we have two simple equations:
1) 100%=1195.16
2) x%=107.58
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%=1195.16/107.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.58 is what percent of 1195.16

100%/x%=1195.16/107.58
(100/x)*x=(1195.16/107.58)*x       - we multiply both sides of the equation by x
100=11.109499907046*x       - we divide both sides of the equation by (11.109499907046) to get x
100/11.109499907046=x
9.0013052645671=x
x=9.0013052645671

now we have:
107.58 is 9.0013052645671% of 1195.16