55.36 is what percent of 102.29 - 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 102.29 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 102.29, so we can write it down as 100%=102.29.
4. We know, that x% equals 55.36 of the output value, so we can write it down as x%=55.36.
5. Now we have two simple equations:
1) 100%=102.29
2) x%=55.36
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%=102.29/55.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.36 is what percent of 102.29

100%/x%=102.29/55.36
(100/x)*x=(102.29/55.36)*x       - we multiply both sides of the equation by x
100=1.8477239884393*x       - we divide both sides of the equation by (1.8477239884393) to get x
100/1.8477239884393=x
54.120637403461=x
x=54.120637403461

now we have:
55.36 is 54.120637403461% of 102.29