409.25 is what percent of 3603 - 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 3603 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 3603, so we can write it down as 100%=3603.
4. We know, that x% equals 409.25 of the output value, so we can write it down as x%=409.25.
5. Now we have two simple equations:
1) 100%=3603
2) x%=409.25
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%=3603/409.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 409.25 is what percent of 3603

100%/x%=3603/409.25
(100/x)*x=(3603/409.25)*x       - we multiply both sides of the equation by x
100=8.8039095907147*x       - we divide both sides of the equation by (8.8039095907147) to get x
100/8.8039095907147=x
11.358590063836=x
x=11.358590063836

now we have:
409.25 is 11.358590063836% of 3603