684.95 is what percent of 868 - 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 868 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 868, so we can write it down as 100%=868.
4. We know, that x% equals 684.95 of the output value, so we can write it down as x%=684.95.
5. Now we have two simple equations:
1) 100%=868
2) x%=684.95
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%=868/684.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 684.95 is what percent of 868

100%/x%=868/684.95
(100/x)*x=(868/684.95)*x       - we multiply both sides of the equation by x
100=1.2672457843638*x       - we divide both sides of the equation by (1.2672457843638) to get x
100/1.2672457843638=x
78.911290322581=x
x=78.911290322581

now we have:
684.95 is 78.911290322581% of 868