57.18 is what percent of 205.05 - 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 205.05 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 205.05, so we can write it down as 100%=205.05.
4. We know, that x% equals 57.18 of the output value, so we can write it down as x%=57.18.
5. Now we have two simple equations:
1) 100%=205.05
2) x%=57.18
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%=205.05/57.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.18 is what percent of 205.05

100%/x%=205.05/57.18
(100/x)*x=(205.05/57.18)*x       - we multiply both sides of the equation by x
100=3.5860440713536*x       - we divide both sides of the equation by (3.5860440713536) to get x
100/3.5860440713536=x
27.885881492319=x
x=27.885881492319

now we have:
57.18 is 27.885881492319% of 205.05