57.65 is what percent of 871 - 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 871 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 871, so we can write it down as 100%=871.
4. We know, that x% equals 57.65 of the output value, so we can write it down as x%=57.65.
5. Now we have two simple equations:
1) 100%=871
2) x%=57.65
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%=871/57.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.65 is what percent of 871

100%/x%=871/57.65
(100/x)*x=(871/57.65)*x       - we multiply both sides of the equation by x
100=15.10841283608*x       - we divide both sides of the equation by (15.10841283608) to get x
100/15.10841283608=x
6.6188289322618=x
x=6.6188289322618

now we have:
57.65 is 6.6188289322618% of 871