966.8 is what percent of 1.115 - 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 1.115 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 1.115, so we can write it down as 100%=1.115.
4. We know, that x% equals 966.8 of the output value, so we can write it down as x%=966.8.
5. Now we have two simple equations:
1) 100%=1.115
2) x%=966.8
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%=1.115/966.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 966.8 is what percent of 1.115

100%/x%=1.115/966.8
(100/x)*x=(1.115/966.8)*x       - we multiply both sides of the equation by x
100=0.0011532892014894*x       - we divide both sides of the equation by (0.0011532892014894) to get x
100/0.0011532892014894=x
86708.520179372=x
x=86708.520179372

now we have:
966.8 is 86708.520179372% of 1.115