205.5 is what percent of 3044.25 - 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 3044.25 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 3044.25, so we can write it down as 100%=3044.25.
4. We know, that x% equals 205.5 of the output value, so we can write it down as x%=205.5.
5. Now we have two simple equations:
1) 100%=3044.25
2) x%=205.5
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%=3044.25/205.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 205.5 is what percent of 3044.25

100%/x%=3044.25/205.5
(100/x)*x=(3044.25/205.5)*x       - we multiply both sides of the equation by x
100=14.813868613139*x       - we divide both sides of the equation by (14.813868613139) to get x
100/14.813868613139=x
6.750431140675=x
x=6.750431140675

now we have:
205.5 is 6.750431140675% of 3044.25