115.75 is what percent of 1161.24 - 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 1161.24 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 1161.24, so we can write it down as 100%=1161.24.
4. We know, that x% equals 115.75 of the output value, so we can write it down as x%=115.75.
5. Now we have two simple equations:
1) 100%=1161.24
2) x%=115.75
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%=1161.24/115.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.75 is what percent of 1161.24

100%/x%=1161.24/115.75
(100/x)*x=(1161.24/115.75)*x       - we multiply both sides of the equation by x
100=10.032311015119*x       - we divide both sides of the equation by (10.032311015119) to get x
100/10.032311015119=x
9.9677930488099=x
x=9.9677930488099

now we have:
115.75 is 9.9677930488099% of 1161.24