55.2 is what percent of 59 - 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 59 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 59, so we can write it down as 100%=59.
4. We know, that x% equals 55.2 of the output value, so we can write it down as x%=55.2.
5. Now we have two simple equations:
1) 100%=59
2) x%=55.2
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%=59/55.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.2 is what percent of 59

100%/x%=59/55.2
(100/x)*x=(59/55.2)*x       - we multiply both sides of the equation by x
100=1.0688405797101*x       - we divide both sides of the equation by (1.0688405797101) to get x
100/1.0688405797101=x
93.559322033898=x
x=93.559322033898

now we have:
55.2 is 93.559322033898% of 59