462.5 is what percent of 680 - 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 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, so we can write it down as 100%=680.
4. We know, that x% equals 462.5 of the output value, so we can write it down as x%=462.5.
5. Now we have two simple equations:
1) 100%=680
2) x%=462.5
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%=680/462.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 462.5 is what percent of 680

100%/x%=680/462.5
(100/x)*x=(680/462.5)*x       - we multiply both sides of the equation by x
100=1.4702702702703*x       - we divide both sides of the equation by (1.4702702702703) to get x
100/1.4702702702703=x
68.014705882353=x
x=68.014705882353

now we have:
462.5 is 68.014705882353% of 680