61.77 is what percent of 112.47 - 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 112.47 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 112.47, so we can write it down as 100%=112.47.
4. We know, that x% equals 61.77 of the output value, so we can write it down as x%=61.77.
5. Now we have two simple equations:
1) 100%=112.47
2) x%=61.77
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%=112.47/61.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.77 is what percent of 112.47

100%/x%=112.47/61.77
(100/x)*x=(112.47/61.77)*x       - we multiply both sides of the equation by x
100=1.8207867897037*x       - we divide both sides of the equation by (1.8207867897037) to get x
100/1.8207867897037=x
54.92131234996=x
x=54.92131234996

now we have:
61.77 is 54.92131234996% of 112.47