115.97 is what percent of 11175 - 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 11175 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 11175, so we can write it down as 100%=11175.
4. We know, that x% equals 115.97 of the output value, so we can write it down as x%=115.97.
5. Now we have two simple equations:
1) 100%=11175
2) x%=115.97
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%=11175/115.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.97 is what percent of 11175

100%/x%=11175/115.97
(100/x)*x=(11175/115.97)*x       - we multiply both sides of the equation by x
100=96.361127877899*x       - we divide both sides of the equation by (96.361127877899) to get x
100/96.361127877899=x
1.0377628635347=x
x=1.0377628635347

now we have:
115.97 is 1.0377628635347% of 11175