5415.2 is what percent of 15415.2 - 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 15415.2 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 15415.2, so we can write it down as 100%=15415.2.
4. We know, that x% equals 5415.2 of the output value, so we can write it down as x%=5415.2.
5. Now we have two simple equations:
1) 100%=15415.2
2) x%=5415.2
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%=15415.2/5415.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5415.2 is what percent of 15415.2

100%/x%=15415.2/5415.2
(100/x)*x=(15415.2/5415.2)*x       - we multiply both sides of the equation by x
100=2.8466538631999*x       - we divide both sides of the equation by (2.8466538631999) to get x
100/2.8466538631999=x
35.128963620323=x
x=35.128963620323

now we have:
5415.2 is 35.128963620323% of 15415.2