727.29 is what percent of 4630.41 - 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 4630.41 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 4630.41, so we can write it down as 100%=4630.41.
4. We know, that x% equals 727.29 of the output value, so we can write it down as x%=727.29.
5. Now we have two simple equations:
1) 100%=4630.41
2) x%=727.29
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%=4630.41/727.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 727.29 is what percent of 4630.41

100%/x%=4630.41/727.29
(100/x)*x=(4630.41/727.29)*x       - we multiply both sides of the equation by x
100=6.3666625417646*x       - we divide both sides of the equation by (6.3666625417646) to get x
100/6.3666625417646=x
15.706816459018=x
x=15.706816459018

now we have:
727.29 is 15.706816459018% of 4630.41