Answer:
80%
Step-by-step explanation:
1. We assume, that the number 56 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 100% equals 56, so we can write it down as 100%=56.
4. We know, that x% equals 44.8 of the output value, so we can write it down as x%=44.8.
5. Now we have two simple equations:
1) 100%=56
2) x%=44.8
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:
100%/x%=56/44.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 44.8 is what percent of 56
100%/x%=56/44.8
(100/x)*x=(56/44.8)*x - we multiply both sides of the equation by x
100=1.25*x - we divide both sides of the equation by (1.25) to get x
100/1.25=x
80=x
x=80
now we have:
44.8 is 80% of 56
or as an improper fraction it would be 