1426.25 is what percent of 3109.39 - 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 3109.39 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 3109.39, so we can write it down as 100%=3109.39.
4. We know, that x% equals 1426.25 of the output value, so we can write it down as x%=1426.25.
5. Now we have two simple equations:
1) 100%=3109.39
2) x%=1426.25
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%=3109.39/1426.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1426.25 is what percent of 3109.39

100%/x%=3109.39/1426.25
(100/x)*x=(3109.39/1426.25)*x       - we multiply both sides of the equation by x
100=2.180115687993*x       - we divide both sides of the equation by (2.180115687993) to get x
100/2.180115687993=x
45.869125455475=x
x=45.869125455475

now we have:
1426.25 is 45.869125455475% of 3109.39