5115.46 is what percent of 9729.08 - 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 9729.08 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 9729.08, so we can write it down as 100%=9729.08.
4. We know, that x% equals 5115.46 of the output value, so we can write it down as x%=5115.46.
5. Now we have two simple equations:
1) 100%=9729.08
2) x%=5115.46
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%=9729.08/5115.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5115.46 is what percent of 9729.08

100%/x%=9729.08/5115.46
(100/x)*x=(9729.08/5115.46)*x       - we multiply both sides of the equation by x
100=1.9018973855724*x       - we divide both sides of the equation by (1.9018973855724) to get x
100/1.9018973855724=x
52.579072224712=x
x=52.579072224712

now we have:
5115.46 is 52.579072224712% of 9729.08