305.8 is what percent of 3113.7 - 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 3113.7 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 3113.7, so we can write it down as 100%=3113.7.
4. We know, that x% equals 305.8 of the output value, so we can write it down as x%=305.8.
5. Now we have two simple equations:
1) 100%=3113.7
2) x%=305.8
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%=3113.7/305.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 305.8 is what percent of 3113.7

100%/x%=3113.7/305.8
(100/x)*x=(3113.7/305.8)*x       - we multiply both sides of the equation by x
100=10.182145192937*x       - we divide both sides of the equation by (10.182145192937) to get x
100/10.182145192937=x
9.8211131451328=x
x=9.8211131451328

now we have:
305.8 is 9.8211131451328% of 3113.7