What is 5.504 percent of 5.56 - 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 5.56 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 5.56 is 100%, so we can write it down as 5.56=100%.
4. We know, that x is 5.504% of the output value, so we can write it down as x=5.504%.
5. Now we have two simple equations:
1) 5.56=100%
2) x=5.504%
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:
5.56/x=100%/5.504%
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 5.504% of 5.56

5.56/x=100/5.504
(5.56/x)*x=(100/5.504)*x       - we multiply both sides of the equation by x
5.56=18.168604651163*x       - we divide both sides of the equation by (18.168604651163) to get x
5.56/18.168604651163=x
0.3060224=x
x=0.3060224

now we have:
5.504% of 5.56=0.3060224