4025.43 is what percent of 11.298 - 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 11.298 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 11.298, so we can write it down as 100%=11.298.
4. We know, that x% equals 4025.43 of the output value, so we can write it down as x%=4025.43.
5. Now we have two simple equations:
1) 100%=11.298
2) x%=4025.43
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%=11.298/4025.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4025.43 is what percent of 11.298

100%/x%=11.298/4025.43
(100/x)*x=(11.298/4025.43)*x       - we multiply both sides of the equation by x
100=0.0028066566801559*x       - we divide both sides of the equation by (0.0028066566801559) to get x
100/0.0028066566801559=x
35629.580456718=x
x=35629.580456718

now we have:
4025.43 is 35629.580456718% of 11.298