983.65 is what percent of 3107 - 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 3107 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 3107, so we can write it down as 100%=3107.
4. We know, that x% equals 983.65 of the output value, so we can write it down as x%=983.65.
5. Now we have two simple equations:
1) 100%=3107
2) x%=983.65
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%=3107/983.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 983.65 is what percent of 3107

100%/x%=3107/983.65
(100/x)*x=(3107/983.65)*x       - we multiply both sides of the equation by x
100=3.1586438265643*x       - we divide both sides of the equation by (3.1586438265643) to get x
100/3.1586438265643=x
31.659156742839=x
x=31.659156742839

now we have:
983.65 is 31.659156742839% of 3107