5364.08 is what percent of 35024.46 - 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 35024.46 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 35024.46, so we can write it down as 100%=35024.46.
4. We know, that x% equals 5364.08 of the output value, so we can write it down as x%=5364.08.
5. Now we have two simple equations:
1) 100%=35024.46
2) x%=5364.08
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%=35024.46/5364.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5364.08 is what percent of 35024.46

100%/x%=35024.46/5364.08
(100/x)*x=(35024.46/5364.08)*x       - we multiply both sides of the equation by x
100=6.5294440053094*x       - we divide both sides of the equation by (6.5294440053094) to get x
100/6.5294440053094=x
15.315239692489=x
x=15.315239692489

now we have:
5364.08 is 15.315239692489% of 35024.46