285.09 is what percent of 686.74 - 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 686.74 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 686.74, so we can write it down as 100%=686.74.
4. We know, that x% equals 285.09 of the output value, so we can write it down as x%=285.09.
5. Now we have two simple equations:
1) 100%=686.74
2) x%=285.09
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%=686.74/285.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 285.09 is what percent of 686.74

100%/x%=686.74/285.09
(100/x)*x=(686.74/285.09)*x       - we multiply both sides of the equation by x
100=2.4088533445579*x       - we divide both sides of the equation by (2.4088533445579) to get x
100/2.4088533445579=x
41.51352768151=x
x=41.51352768151

now we have:
285.09 is 41.51352768151% of 686.74