49.88 is what percent of 55.04 - 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 55.04 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 55.04, so we can write it down as 100%=55.04.
4. We know, that x% equals 49.88 of the output value, so we can write it down as x%=49.88.
5. Now we have two simple equations:
1) 100%=55.04
2) x%=49.88
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%=55.04/49.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.88 is what percent of 55.04

100%/x%=55.04/49.88
(100/x)*x=(55.04/49.88)*x       - we multiply both sides of the equation by x
100=1.1034482758621*x       - we divide both sides of the equation by (1.1034482758621) to get x
100/1.1034482758621=x
90.625=x
x=90.625

now we have:
49.88 is 90.625% of 55.04