1016.5 is what percent of 3099.5 - 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 3099.5 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 3099.5, so we can write it down as 100%=3099.5.
4. We know, that x% equals 1016.5 of the output value, so we can write it down as x%=1016.5.
5. Now we have two simple equations:
1) 100%=3099.5
2) x%=1016.5
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%=3099.5/1016.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1016.5 is what percent of 3099.5

100%/x%=3099.5/1016.5
(100/x)*x=(3099.5/1016.5)*x       - we multiply both sides of the equation by x
100=3.0491883915396*x       - we divide both sides of the equation by (3.0491883915396) to get x
100/3.0491883915396=x
32.795612195515=x
x=32.795612195515

now we have:
1016.5 is 32.795612195515% of 3099.5