318.6 is what percent of 685 - 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 685 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 685, so we can write it down as 100%=685.
4. We know, that x% equals 318.6 of the output value, so we can write it down as x%=318.6.
5. Now we have two simple equations:
1) 100%=685
2) x%=318.6
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%=685/318.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 318.6 is what percent of 685

100%/x%=685/318.6
(100/x)*x=(685/318.6)*x       - we multiply both sides of the equation by x
100=2.1500313873195*x       - we divide both sides of the equation by (2.1500313873195) to get x
100/2.1500313873195=x
46.510948905109=x
x=46.510948905109

now we have:
318.6 is 46.510948905109% of 685