Answer:
The answer is 96%.
Explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 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 100% equals 55, so we can write it down as 100%=55.
4. We know, that x% equals 52.8 of the output value, so we can write it down as x%=52.8.
5. Now we have two simple equations:
1) 100%=55
2) x%=52.8
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%=55/52.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 52.8 is what percent of 55
100%/x%=55/52.8
(100/x)*x=(55/52.8)*x - we multiply both sides of the equation by x
100=1.0416666666667*x - we divide both sides of the equation by (1.0416666666667) to get x
100/1.0416666666667=x
96=x
x=96
now we have:
52.8 is 96% of 55