57.7 is what percent of 111.8 - 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 111.8 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 111.8, so we can write it down as 100%=111.8.
4. We know, that x% equals 57.7 of the output value, so we can write it down as x%=57.7.
5. Now we have two simple equations:
1) 100%=111.8
2) x%=57.7
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%=111.8/57.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.7 is what percent of 111.8

100%/x%=111.8/57.7
(100/x)*x=(111.8/57.7)*x       - we multiply both sides of the equation by x
100=1.9376083188908*x       - we divide both sides of the equation by (1.9376083188908) to get x
100/1.9376083188908=x
51.610017889088=x
x=51.610017889088

now we have:
57.7 is 51.610017889088% of 111.8