55.16 is what percent of 52.96 - 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 52.96 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 52.96, so we can write it down as 100%=52.96.
4. We know, that x% equals 55.16 of the output value, so we can write it down as x%=55.16.
5. Now we have two simple equations:
1) 100%=52.96
2) x%=55.16
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%=52.96/55.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.16 is what percent of 52.96

100%/x%=52.96/55.16
(100/x)*x=(52.96/55.16)*x       - we multiply both sides of the equation by x
100=0.96011602610587*x       - we divide both sides of the equation by (0.96011602610587) to get x
100/0.96011602610587=x
104.15407854985=x
x=104.15407854985

now we have:
55.16 is 104.15407854985% of 52.96