55.49 is what percent of 54.61 - 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 54.61 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 54.61, so we can write it down as 100%=54.61.
4. We know, that x% equals 55.49 of the output value, so we can write it down as x%=55.49.
5. Now we have two simple equations:
1) 100%=54.61
2) x%=55.49
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%=54.61/55.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.49 is what percent of 54.61

100%/x%=54.61/55.49
(100/x)*x=(54.61/55.49)*x       - we multiply both sides of the equation by x
100=0.98414128671833*x       - we divide both sides of the equation by (0.98414128671833) to get x
100/0.98414128671833=x
101.61142647867=x
x=101.61142647867

now we have:
55.49 is 101.61142647867% of 54.61