113.42 is what percent of 10119.56 - 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 10119.56 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 10119.56, so we can write it down as 100%=10119.56.
4. We know, that x% equals 113.42 of the output value, so we can write it down as x%=113.42.
5. Now we have two simple equations:
1) 100%=10119.56
2) x%=113.42
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%=10119.56/113.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.42 is what percent of 10119.56

100%/x%=10119.56/113.42
(100/x)*x=(10119.56/113.42)*x       - we multiply both sides of the equation by x
100=89.222006700758*x       - we divide both sides of the equation by (89.222006700758) to get x
100/89.222006700758=x
1.1207997185648=x
x=1.1207997185648

now we have:
113.42 is 1.1207997185648% of 10119.56