114.97 is what percent of 1115.36 - 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 1115.36 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 1115.36, so we can write it down as 100%=1115.36.
4. We know, that x% equals 114.97 of the output value, so we can write it down as x%=114.97.
5. Now we have two simple equations:
1) 100%=1115.36
2) x%=114.97
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%=1115.36/114.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 114.97 is what percent of 1115.36

100%/x%=1115.36/114.97
(100/x)*x=(1115.36/114.97)*x       - we multiply both sides of the equation by x
100=9.7013133861007*x       - we divide both sides of the equation by (9.7013133861007) to get x
100/9.7013133861007=x
10.307882656721=x
x=10.307882656721

now we have:
114.97 is 10.307882656721% of 1115.36