57.16 is what percent of 74.66 - 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 74.66 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 74.66, so we can write it down as 100%=74.66.
4. We know, that x% equals 57.16 of the output value, so we can write it down as x%=57.16.
5. Now we have two simple equations:
1) 100%=74.66
2) x%=57.16
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%=74.66/57.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.16 is what percent of 74.66

100%/x%=74.66/57.16
(100/x)*x=(74.66/57.16)*x       - we multiply both sides of the equation by x
100=1.3061581525542*x       - we divide both sides of the equation by (1.3061581525542) to get x
100/1.3061581525542=x
76.560407179212=x
x=76.560407179212

now we have:
57.16 is 76.560407179212% of 74.66