721.95 is what percent of 11644.3 - 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 11644.3 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 11644.3, so we can write it down as 100%=11644.3.
4. We know, that x% equals 721.95 of the output value, so we can write it down as x%=721.95.
5. Now we have two simple equations:
1) 100%=11644.3
2) x%=721.95
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%=11644.3/721.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 721.95 is what percent of 11644.3

100%/x%=11644.3/721.95
(100/x)*x=(11644.3/721.95)*x       - we multiply both sides of the equation by x
100=16.128956298913*x       - we divide both sides of the equation by (16.128956298913) to get x
100/16.128956298913=x
6.2000291988355=x
x=6.2000291988355

now we have:
721.95 is 6.2000291988355% of 11644.3