What is 84.84 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 55 is 100%, so we can write it down as 55=100%.
4. We know, that x is 84.84% of the output value, so we can write it down as x=84.84%.
5. Now we have two simple equations:
1) 55=100%
2) x=84.84%
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:
55/x=100%/84.84%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 84.84% of 55

55/x=100/84.84
(55/x)*x=(100/84.84)*x       - we multiply both sides of the equation by x
55=1.1786892975012*x       - we divide both sides of the equation by (1.1786892975012) to get x
55/1.1786892975012=x
46.662=x
x=46.662

now we have:
84.84% of 55=46.662