What is 10.08 percent of 5.49 - 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 5.49 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 5.49 is 100%, so we can write it down as 5.49=100%.
4. We know, that x is 10.08% of the output value, so we can write it down as x=10.08%.
5. Now we have two simple equations:
1) 5.49=100%
2) x=10.08%
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:
5.49/x=100%/10.08%
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 10.08% of 5.49

5.49/x=100/10.08
(5.49/x)*x=(100/10.08)*x       - we multiply both sides of the equation by x
5.49=9.9206349206349*x       - we divide both sides of the equation by (9.9206349206349) to get x
5.49/9.9206349206349=x
0.553392=x
x=0.553392

now we have:
10.08% of 5.49=0.553392