686.5 is what percent of 585 - 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 585 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 585, so we can write it down as 100%=585.
4. We know, that x% equals 686.5 of the output value, so we can write it down as x%=686.5.
5. Now we have two simple equations:
1) 100%=585
2) x%=686.5
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%=585/686.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 686.5 is what percent of 585

100%/x%=585/686.5
(100/x)*x=(585/686.5)*x       - we multiply both sides of the equation by x
100=0.85214857975237*x       - we divide both sides of the equation by (0.85214857975237) to get x
100/0.85214857975237=x
117.35042735043=x
x=117.35042735043

now we have:
686.5 is 117.35042735043% of 585