55.95 is what percent of 57.47 - 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 57.47 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 57.47, so we can write it down as 100%=57.47.
4. We know, that x% equals 55.95 of the output value, so we can write it down as x%=55.95.
5. Now we have two simple equations:
1) 100%=57.47
2) x%=55.95
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%=57.47/55.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.95 is what percent of 57.47

100%/x%=57.47/55.95
(100/x)*x=(57.47/55.95)*x       - we multiply both sides of the equation by x
100=1.0271671134942*x       - we divide both sides of the equation by (1.0271671134942) to get x
100/1.0271671134942=x
97.35514181312=x
x=97.35514181312

now we have:
55.95 is 97.35514181312% of 57.47