1004.12 is what percent of 3081.7 - 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 3081.7 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 3081.7, so we can write it down as 100%=3081.7.
4. We know, that x% equals 1004.12 of the output value, so we can write it down as x%=1004.12.
5. Now we have two simple equations:
1) 100%=3081.7
2) x%=1004.12
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%=3081.7/1004.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1004.12 is what percent of 3081.7

100%/x%=3081.7/1004.12
(100/x)*x=(3081.7/1004.12)*x       - we multiply both sides of the equation by x
100=3.0690554913755*x       - we divide both sides of the equation by (3.0690554913755) to get x
100/3.0690554913755=x
32.583314404387=x
x=32.583314404387

now we have:
1004.12 is 32.583314404387% of 3081.7