1044.78 is what percent of 2734.8 - 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 2734.8 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 2734.8, so we can write it down as 100%=2734.8.
4. We know, that x% equals 1044.78 of the output value, so we can write it down as x%=1044.78.
5. Now we have two simple equations:
1) 100%=2734.8
2) x%=1044.78
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%=2734.8/1044.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1044.78 is what percent of 2734.8

100%/x%=2734.8/1044.78
(100/x)*x=(2734.8/1044.78)*x       - we multiply both sides of the equation by x
100=2.6175845632573*x       - we divide both sides of the equation by (2.6175845632573) to get x
100/2.6175845632573=x
38.203159280386=x
x=38.203159280386

now we have:
1044.78 is 38.203159280386% of 2734.8