680.92 is what percent of 850 - 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 850 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 850, so we can write it down as 100%=850.
4. We know, that x% equals 680.92 of the output value, so we can write it down as x%=680.92.
5. Now we have two simple equations:
1) 100%=850
2) x%=680.92
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%=850/680.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 680.92 is what percent of 850

100%/x%=850/680.92
(100/x)*x=(850/680.92)*x       - we multiply both sides of the equation by x
100=1.2483111085003*x       - we divide both sides of the equation by (1.2483111085003) to get x
100/1.2483111085003=x
80.108235294118=x
x=80.108235294118

now we have:
680.92 is 80.108235294118% of 850