50.05 is what percent of 55 - 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 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, so we can write it down as 100%=55.
4. We know, that x% equals 50.05 of the output value, so we can write it down as x%=50.05.
5. Now we have two simple equations:
1) 100%=55
2) x%=50.05
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%=55/50.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.05 is what percent of 55

100%/x%=55/50.05
(100/x)*x=(55/50.05)*x       - we multiply both sides of the equation by x
100=1.0989010989011*x       - we divide both sides of the equation by (1.0989010989011) to get x
100/1.0989010989011=x
91=x
x=91

now we have:
50.05 is 91% of 55