41.25 is what percent of 1004.24 - 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 1004.24 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 1004.24, so we can write it down as 100%=1004.24.
4. We know, that x% equals 41.25 of the output value, so we can write it down as x%=41.25.
5. Now we have two simple equations:
1) 100%=1004.24
2) x%=41.25
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%=1004.24/41.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.25 is what percent of 1004.24

100%/x%=1004.24/41.25
(100/x)*x=(1004.24/41.25)*x       - we multiply both sides of the equation by x
100=24.345212121212*x       - we divide both sides of the equation by (24.345212121212) to get x
100/24.345212121212=x
4.1075838444993=x
x=4.1075838444993

now we have:
41.25 is 4.1075838444993% of 1004.24