311.25 is what percent of 2843.28 - 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 2843.28 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 2843.28, so we can write it down as 100%=2843.28.
4. We know, that x% equals 311.25 of the output value, so we can write it down as x%=311.25.
5. Now we have two simple equations:
1) 100%=2843.28
2) x%=311.25
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%=2843.28/311.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 311.25 is what percent of 2843.28

100%/x%=2843.28/311.25
(100/x)*x=(2843.28/311.25)*x       - we multiply both sides of the equation by x
100=9.1350361445783*x       - we divide both sides of the equation by (9.1350361445783) to get x
100/9.1350361445783=x
10.946864185026=x
x=10.946864185026

now we have:
311.25 is 10.946864185026% of 2843.28