What is 24.75 percent of 44.55 - 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 44.55 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 44.55 is 100%, so we can write it down as 44.55=100%.
4. We know, that x is 24.75% of the output value, so we can write it down as x=24.75%.
5. Now we have two simple equations:
1) 44.55=100%
2) x=24.75%
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:
44.55/x=100%/24.75%
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 24.75% of 44.55

44.55/x=100/24.75
(44.55/x)*x=(100/24.75)*x       - we multiply both sides of the equation by x
44.55=4.040404040404*x       - we divide both sides of the equation by (4.040404040404) to get x
44.55/4.040404040404=x
11.026125=x
x=11.026125

now we have:
24.75% of 44.55=11.026125