85 is what percent of 686 - 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 686 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 686, so we can write it down as 100%=686.
4. We know, that x% equals 85 of the output value, so we can write it down as x%=85.
5. Now we have two simple equations:
1) 100%=686
2) x%=85
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%=686/85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85 is what percent of 686

100%/x%=686/85
(100/x)*x=(686/85)*x       - we multiply both sides of the equation by x
100=8.0705882352941*x       - we divide both sides of the equation by (8.0705882352941) to get x
100/8.0705882352941=x
12.390670553936=x
x=12.390670553936

now we have:
85 is 12.390670553936% of 686