What is 4.48 percent of 4.48 - 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 4.48 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 4.48 is 100%, so we can write it down as 4.48=100%.
4. We know, that x is 4.48% of the output value, so we can write it down as x=4.48%.
5. Now we have two simple equations:
1) 4.48=100%
2) x=4.48%
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:
4.48/x=100%/4.48%
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 4.48% of 4.48

4.48/x=100/4.48
(4.48/x)*x=(100/4.48)*x       - we multiply both sides of the equation by x
4.48=22.321428571429*x       - we divide both sides of the equation by (22.321428571429) to get x
4.48/22.321428571429=x
0.200704=x
x=0.200704

now we have:
4.48% of 4.48=0.200704