686.38 is what percent of 802 - 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 802 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 802, so we can write it down as 100%=802.
4. We know, that x% equals 686.38 of the output value, so we can write it down as x%=686.38.
5. Now we have two simple equations:
1) 100%=802
2) x%=686.38
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%=802/686.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 686.38 is what percent of 802

100%/x%=802/686.38
(100/x)*x=(802/686.38)*x       - we multiply both sides of the equation by x
100=1.1684489641307*x       - we divide both sides of the equation by (1.1684489641307) to get x
100/1.1684489641307=x
85.583541147132=x
x=85.583541147132

now we have:
686.38 is 85.583541147132% of 802