113.84 is what percent of 1071.14 - 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 1071.14 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 1071.14, so we can write it down as 100%=1071.14.
4. We know, that x% equals 113.84 of the output value, so we can write it down as x%=113.84.
5. Now we have two simple equations:
1) 100%=1071.14
2) x%=113.84
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%=1071.14/113.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.84 is what percent of 1071.14

100%/x%=1071.14/113.84
(100/x)*x=(1071.14/113.84)*x       - we multiply both sides of the equation by x
100=9.4091707659874*x       - we divide both sides of the equation by (9.4091707659874) to get x
100/9.4091707659874=x
10.627929122244=x
x=10.627929122244

now we have:
113.84 is 10.627929122244% of 1071.14