What is 49.18 percent of 21.96 - 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 21.96 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 21.96 is 100%, so we can write it down as 21.96=100%.
4. We know, that x is 49.18% of the output value, so we can write it down as x=49.18%.
5. Now we have two simple equations:
1) 21.96=100%
2) x=49.18%
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:
21.96/x=100%/49.18%
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 49.18% of 21.96

21.96/x=100/49.18
(21.96/x)*x=(100/49.18)*x       - we multiply both sides of the equation by x
21.96=2.0333468889793*x       - we divide both sides of the equation by (2.0333468889793) to get x
21.96/2.0333468889793=x
10.799928=x
x=10.799928

now we have:
49.18% of 21.96=10.799928