3303.3 is what percent of 3103 - 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 3103 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 3103, so we can write it down as 100%=3103.
4. We know, that x% equals 3303.3 of the output value, so we can write it down as x%=3303.3.
5. Now we have two simple equations:
1) 100%=3103
2) x%=3303.3
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%=3103/3303.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3303.3 is what percent of 3103

100%/x%=3103/3303.3
(100/x)*x=(3103/3303.3)*x       - we multiply both sides of the equation by x
100=0.93936366663639*x       - we divide both sides of the equation by (0.93936366663639) to get x
100/0.93936366663639=x
106.45504350628=x
x=106.45504350628

now we have:
3303.3 is 106.45504350628% of 3103