503.93 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 503.93 of the output value, so we can write it down as x%=503.93.
5. Now we have two simple equations:
1) 100%=680
2) x%=503.93
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%=680/503.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 503.93 is what percent of 680

100%/x%=680/503.93
(100/x)*x=(680/503.93)*x       - we multiply both sides of the equation by x
100=1.349393765007*x       - we divide both sides of the equation by (1.349393765007) to get x
100/1.349393765007=x
74.107352941176=x
x=74.107352941176

now we have:
503.93 is 74.107352941176% of 680