425.28 is what percent of 3038.86 - 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 3038.86 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 3038.86, so we can write it down as 100%=3038.86.
4. We know, that x% equals 425.28 of the output value, so we can write it down as x%=425.28.
5. Now we have two simple equations:
1) 100%=3038.86
2) x%=425.28
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%=3038.86/425.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 425.28 is what percent of 3038.86

100%/x%=3038.86/425.28
(100/x)*x=(3038.86/425.28)*x       - we multiply both sides of the equation by x
100=7.1455511662904*x       - we divide both sides of the equation by (7.1455511662904) to get x
100/7.1455511662904=x
13.99472170485=x
x=13.99472170485

now we have:
425.28 is 13.99472170485% of 3038.86