57.12 is what percent of 475 - 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 475 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 475, so we can write it down as 100%=475.
4. We know, that x% equals 57.12 of the output value, so we can write it down as x%=57.12.
5. Now we have two simple equations:
1) 100%=475
2) x%=57.12
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%=475/57.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.12 is what percent of 475

100%/x%=475/57.12
(100/x)*x=(475/57.12)*x       - we multiply both sides of the equation by x
100=8.3158263305322*x       - we divide both sides of the equation by (8.3158263305322) to get x
100/8.3158263305322=x
12.025263157895=x
x=12.025263157895

now we have:
57.12 is 12.025263157895% of 475