57.06 is what percent of 95.1 - 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 95.1 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 95.1, so we can write it down as 100%=95.1.
4. We know, that x% equals 57.06 of the output value, so we can write it down as x%=57.06.
5. Now we have two simple equations:
1) 100%=95.1
2) x%=57.06
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%=95.1/57.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.06 is what percent of 95.1

100%/x%=95.1/57.06
(100/x)*x=(95.1/57.06)*x       - we multiply both sides of the equation by x
100=1.6666666666667*x       - we divide both sides of the equation by (1.6666666666667) to get x
100/1.6666666666667=x
60=x
x=60

now we have:
57.06 is 60% of 95.1