550.8 is what percent of 1230.8 - 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 1230.8 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 1230.8, so we can write it down as 100%=1230.8.
4. We know, that x% equals 550.8 of the output value, so we can write it down as x%=550.8.
5. Now we have two simple equations:
1) 100%=1230.8
2) x%=550.8
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%=1230.8/550.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 550.8 is what percent of 1230.8

100%/x%=1230.8/550.8
(100/x)*x=(1230.8/550.8)*x       - we multiply both sides of the equation by x
100=2.2345679012346*x       - we divide both sides of the equation by (2.2345679012346) to get x
100/2.2345679012346=x
44.75138121547=x
x=44.75138121547

now we have:
550.8 is 44.75138121547% of 1230.8