1002.94 is what percent of 3078.88 - 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 3078.88 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 3078.88, so we can write it down as 100%=3078.88.
4. We know, that x% equals 1002.94 of the output value, so we can write it down as x%=1002.94.
5. Now we have two simple equations:
1) 100%=3078.88
2) x%=1002.94
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%=3078.88/1002.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1002.94 is what percent of 3078.88

100%/x%=3078.88/1002.94
(100/x)*x=(3078.88/1002.94)*x       - we multiply both sides of the equation by x
100=3.0698546273955*x       - we divide both sides of the equation by (3.0698546273955) to get x
100/3.0698546273955=x
32.574832406589=x
x=32.574832406589

now we have:
1002.94 is 32.574832406589% of 3078.88