686.2 is what percent of 770 - 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 770 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 770, so we can write it down as 100%=770.
4. We know, that x% equals 686.2 of the output value, so we can write it down as x%=686.2.
5. Now we have two simple equations:
1) 100%=770
2) x%=686.2
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%=770/686.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 686.2 is what percent of 770

100%/x%=770/686.2
(100/x)*x=(770/686.2)*x       - we multiply both sides of the equation by x
100=1.1221218303702*x       - we divide both sides of the equation by (1.1221218303702) to get x
100/1.1221218303702=x
89.116883116883=x
x=89.116883116883

now we have:
686.2 is 89.116883116883% of 770