113.07 is what percent of 557.14 - 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 557.14 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 557.14, so we can write it down as 100%=557.14.
4. We know, that x% equals 113.07 of the output value, so we can write it down as x%=113.07.
5. Now we have two simple equations:
1) 100%=557.14
2) x%=113.07
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%=557.14/113.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.07 is what percent of 557.14

100%/x%=557.14/113.07
(100/x)*x=(557.14/113.07)*x       - we multiply both sides of the equation by x
100=4.9273901123198*x       - we divide both sides of the equation by (4.9273901123198) to get x
100/4.9273901123198=x
20.2947194601=x
x=20.2947194601

now we have:
113.07 is 20.2947194601% of 557.14