109.44 is what percent of 2938.39 - 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 2938.39 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 2938.39, so we can write it down as 100%=2938.39.
4. We know, that x% equals 109.44 of the output value, so we can write it down as x%=109.44.
5. Now we have two simple equations:
1) 100%=2938.39
2) x%=109.44
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%=2938.39/109.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.44 is what percent of 2938.39

100%/x%=2938.39/109.44
(100/x)*x=(2938.39/109.44)*x       - we multiply both sides of the equation by x
100=26.849323830409*x       - we divide both sides of the equation by (26.849323830409) to get x
100/26.849323830409=x
3.7244885804811=x
x=3.7244885804811

now we have:
109.44 is 3.7244885804811% of 2938.39