482.8 is what percent of 1090.8 - 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 1090.8 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 1090.8, so we can write it down as 100%=1090.8.
4. We know, that x% equals 482.8 of the output value, so we can write it down as x%=482.8.
5. Now we have two simple equations:
1) 100%=1090.8
2) x%=482.8
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%=1090.8/482.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 482.8 is what percent of 1090.8

100%/x%=1090.8/482.8
(100/x)*x=(1090.8/482.8)*x       - we multiply both sides of the equation by x
100=2.25932062966*x       - we divide both sides of the equation by (2.25932062966) to get x
100/2.25932062966=x
44.2610927759=x
x=44.2610927759

now we have:
482.8 is 44.2610927759% of 1090.8