100.55 is what percent of 4038.47 - 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 4038.47 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 4038.47, so we can write it down as 100%=4038.47.
4. We know, that x% equals 100.55 of the output value, so we can write it down as x%=100.55.
5. Now we have two simple equations:
1) 100%=4038.47
2) x%=100.55
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%=4038.47/100.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.55 is what percent of 4038.47

100%/x%=4038.47/100.55
(100/x)*x=(4038.47/100.55)*x       - we multiply both sides of the equation by x
100=40.163799104923*x       - we divide both sides of the equation by (40.163799104923) to get x
100/40.163799104923=x
2.4898043070767=x
x=2.4898043070767

now we have:
100.55 is 2.4898043070767% of 4038.47