57.9 is what percent of 907 - 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 907 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 907, so we can write it down as 100%=907.
4. We know, that x% equals 57.9 of the output value, so we can write it down as x%=57.9.
5. Now we have two simple equations:
1) 100%=907
2) x%=57.9
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%=907/57.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.9 is what percent of 907

100%/x%=907/57.9
(100/x)*x=(907/57.9)*x       - we multiply both sides of the equation by x
100=15.66493955095*x       - we divide both sides of the equation by (15.66493955095) to get x
100/15.66493955095=x
6.3836824696803=x
x=6.3836824696803

now we have:
57.9 is 6.3836824696803% of 907