What is 48.44 percent of 44.5648 - 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 44.5648 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 44.5648 is 100%, so we can write it down as 44.5648=100%.
4. We know, that x is 48.44% of the output value, so we can write it down as x=48.44%.
5. Now we have two simple equations:
1) 44.5648=100%
2) x=48.44%
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:
44.5648/x=100%/48.44%
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 48.44% of 44.5648

44.5648/x=100/48.44
(44.5648/x)*x=(100/48.44)*x       - we multiply both sides of the equation by x
44.5648=2.0644095788604*x       - we divide both sides of the equation by (2.0644095788604) to get x
44.5648/2.0644095788604=x
21.58718912=x
x=21.58718912

now we have:
48.44% of 44.5648=21.58718912