What is 54.56 percent of 54.56 - 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 54.56 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 54.56 is 100%, so we can write it down as 54.56=100%.
4. We know, that x is 54.56% of the output value, so we can write it down as x=54.56%.
5. Now we have two simple equations:
1) 54.56=100%
2) x=54.56%
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:
54.56/x=100%/54.56%
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 54.56% of 54.56

54.56/x=100/54.56
(54.56/x)*x=(100/54.56)*x       - we multiply both sides of the equation by x
54.56=1.8328445747801*x       - we divide both sides of the equation by (1.8328445747801) to get x
54.56/1.8328445747801=x
29.767936=x
x=29.767936

now we have:
54.56% of 54.56=29.767936