55.5 is what percent of 57 - 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 57 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 57, so we can write it down as 100%=57.
4. We know, that x% equals 55.5 of the output value, so we can write it down as x%=55.5.
5. Now we have two simple equations:
1) 100%=57
2) x%=55.5
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%=57/55.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.5 is what percent of 57

100%/x%=57/55.5
(100/x)*x=(57/55.5)*x       - we multiply both sides of the equation by x
100=1.027027027027*x       - we divide both sides of the equation by (1.027027027027) to get x
100/1.027027027027=x
97.368421052632=x
x=97.368421052632

now we have:
55.5 is 97.368421052632% of 57