285.02 is what percent of 680.49 - 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 680.49 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 680.49, so we can write it down as 100%=680.49.
4. We know, that x% equals 285.02 of the output value, so we can write it down as x%=285.02.
5. Now we have two simple equations:
1) 100%=680.49
2) x%=285.02
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%=680.49/285.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 285.02 is what percent of 680.49

100%/x%=680.49/285.02
(100/x)*x=(680.49/285.02)*x       - we multiply both sides of the equation by x
100=2.3875166654972*x       - we divide both sides of the equation by (2.3875166654972) to get x
100/2.3875166654972=x
41.884524386839=x
x=41.884524386839

now we have:
285.02 is 41.884524386839% of 680.49