52.55 is what percent of 4806.8 - 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 4806.8 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 4806.8, so we can write it down as 100%=4806.8.
4. We know, that x% equals 52.55 of the output value, so we can write it down as x%=52.55.
5. Now we have two simple equations:
1) 100%=4806.8
2) x%=52.55
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%=4806.8/52.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.55 is what percent of 4806.8

100%/x%=4806.8/52.55
(100/x)*x=(4806.8/52.55)*x       - we multiply both sides of the equation by x
100=91.470980019029*x       - we divide both sides of the equation by (91.470980019029) to get x
100/91.470980019029=x
1.0932429058833=x
x=1.0932429058833

now we have:
52.55 is 1.0932429058833% of 4806.8