What is 44.444 percent of 28.46 - 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 28.46 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 28.46 is 100%, so we can write it down as 28.46=100%.
4. We know, that x is 44.444% of the output value, so we can write it down as x=44.444%.
5. Now we have two simple equations:
1) 28.46=100%
2) x=44.444%
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:
28.46/x=100%/44.444%
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 44.444% of 28.46

28.46/x=100/44.444
(28.46/x)*x=(100/44.444)*x       - we multiply both sides of the equation by x
28.46=2.250022500225*x       - we divide both sides of the equation by (2.250022500225) to get x
28.46/2.250022500225=x
12.6487624=x
x=12.6487624

now we have:
44.444% of 28.46=12.6487624