2854.85 is what percent of 4980.95 - 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 4980.95 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 4980.95, so we can write it down as 100%=4980.95.
4. We know, that x% equals 2854.85 of the output value, so we can write it down as x%=2854.85.
5. Now we have two simple equations:
1) 100%=4980.95
2) x%=2854.85
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%=4980.95/2854.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2854.85 is what percent of 4980.95

100%/x%=4980.95/2854.85
(100/x)*x=(4980.95/2854.85)*x       - we multiply both sides of the equation by x
100=1.74473264795*x       - we divide both sides of the equation by (1.74473264795) to get x
100/1.74473264795=x
57.315371565665=x
x=57.315371565665

now we have:
2854.85 is 57.315371565665% of 4980.95