What is 45.608 percent of 5.5 - 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 5.5 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 5.5 is 100%, so we can write it down as 5.5=100%.
4. We know, that x is 45.608% of the output value, so we can write it down as x=45.608%.
5. Now we have two simple equations:
1) 5.5=100%
2) x=45.608%
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:
5.5/x=100%/45.608%
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 45.608% of 5.5

5.5/x=100/45.608
(5.5/x)*x=(100/45.608)*x       - we multiply both sides of the equation by x
5.5=2.1925977898614*x       - we divide both sides of the equation by (2.1925977898614) to get x
5.5/2.1925977898614=x
2.50844=x
x=2.50844

now we have:
45.608% of 5.5=2.50844