37.65 is what percent of 57.5 - 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 57.5 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 57.5, so we can write it down as 100%=57.5.
4. We know, that x% equals 37.65 of the output value, so we can write it down as x%=37.65.
5. Now we have two simple equations:
1) 100%=57.5
2) x%=37.65
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%=57.5/37.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.65 is what percent of 57.5

100%/x%=57.5/37.65
(100/x)*x=(57.5/37.65)*x       - we multiply both sides of the equation by x
100=1.527224435591*x       - we divide both sides of the equation by (1.527224435591) to get x
100/1.527224435591=x
65.478260869565=x
x=65.478260869565

now we have:
37.65 is 65.478260869565% of 57.5