685.49 is what percent of 856.86 - 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 856.86 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 856.86, so we can write it down as 100%=856.86.
4. We know, that x% equals 685.49 of the output value, so we can write it down as x%=685.49.
5. Now we have two simple equations:
1) 100%=856.86
2) x%=685.49
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%=856.86/685.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 685.49 is what percent of 856.86

100%/x%=856.86/685.49
(100/x)*x=(856.86/685.49)*x       - we multiply both sides of the equation by x
100=1.2499963529738*x       - we divide both sides of the equation by (1.2499963529738) to get x
100/1.2499963529738=x
80.000233410359=x
x=80.000233410359

now we have:
685.49 is 80.000233410359% of 856.86