3502.46 is what percent of 9000 - 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 9000 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 9000, so we can write it down as 100%=9000.
4. We know, that x% equals 3502.46 of the output value, so we can write it down as x%=3502.46.
5. Now we have two simple equations:
1) 100%=9000
2) x%=3502.46
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%=9000/3502.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3502.46 is what percent of 9000

100%/x%=9000/3502.46
(100/x)*x=(9000/3502.46)*x       - we multiply both sides of the equation by x
100=2.5696224939043*x       - we divide both sides of the equation by (2.5696224939043) to get x
100/2.5696224939043=x
38.916222222222=x
x=38.916222222222

now we have:
3502.46 is 38.916222222222% of 9000