550.4 is what percent of 12800 - 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 12800 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 12800, so we can write it down as 100%=12800.
4. We know, that x% equals 550.4 of the output value, so we can write it down as x%=550.4.
5. Now we have two simple equations:
1) 100%=12800
2) x%=550.4
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%=12800/550.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 550.4 is what percent of 12800

100%/x%=12800/550.4
(100/x)*x=(12800/550.4)*x       - we multiply both sides of the equation by x
100=23.255813953488*x       - we divide both sides of the equation by (23.255813953488) to get x
100/23.255813953488=x
4.3=x
x=4.3

now we have:
550.4 is 4.3% of 12800