1071.45 is what percent of 3041.6 - 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 3041.6 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 3041.6, so we can write it down as 100%=3041.6.
4. We know, that x% equals 1071.45 of the output value, so we can write it down as x%=1071.45.
5. Now we have two simple equations:
1) 100%=3041.6
2) x%=1071.45
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%=3041.6/1071.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1071.45 is what percent of 3041.6

100%/x%=3041.6/1071.45
(100/x)*x=(3041.6/1071.45)*x       - we multiply both sides of the equation by x
100=2.8387698912688*x       - we divide both sides of the equation by (2.8387698912688) to get x
100/2.8387698912688=x
35.226525512888=x
x=35.226525512888

now we have:
1071.45 is 35.226525512888% of 3041.6