39.05 is what percent of 57.85 - 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 57.85 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 57.85, so we can write it down as 100%=57.85.
4. We know, that x% equals 39.05 of the output value, so we can write it down as x%=39.05.
5. Now we have two simple equations:
1) 100%=57.85
2) x%=39.05
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%=57.85/39.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.05 is what percent of 57.85

100%/x%=57.85/39.05
(100/x)*x=(57.85/39.05)*x       - we multiply both sides of the equation by x
100=1.4814340588988*x       - we divide both sides of the equation by (1.4814340588988) to get x
100/1.4814340588988=x
67.502160760588=x
x=67.502160760588

now we have:
39.05 is 67.502160760588% of 57.85