63.42 is what percent of 57.1 - 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 57.1 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 57.1, so we can write it down as 100%=57.1.
4. We know, that x% equals 63.42 of the output value, so we can write it down as x%=63.42.
5. Now we have two simple equations:
1) 100%=57.1
2) x%=63.42
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%=57.1/63.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.42 is what percent of 57.1

100%/x%=57.1/63.42
(100/x)*x=(57.1/63.42)*x       - we multiply both sides of the equation by x
100=0.90034689372438*x       - we divide both sides of the equation by (0.90034689372438) to get x
100/0.90034689372438=x
111.06830122592=x
x=111.06830122592

now we have:
63.42 is 111.06830122592% of 57.1