55.81 is what percent of 54.97 - 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 54.97 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 54.97, so we can write it down as 100%=54.97.
4. We know, that x% equals 55.81 of the output value, so we can write it down as x%=55.81.
5. Now we have two simple equations:
1) 100%=54.97
2) x%=55.81
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%=54.97/55.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.81 is what percent of 54.97

100%/x%=54.97/55.81
(100/x)*x=(54.97/55.81)*x       - we multiply both sides of the equation by x
100=0.98494893388282*x       - we divide both sides of the equation by (0.98494893388282) to get x
100/0.98494893388282=x
101.52810623977=x
x=101.52810623977

now we have:
55.81 is 101.52810623977% of 54.97