5825.5 is what percent of 24074.25 - 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 24074.25 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 24074.25, so we can write it down as 100%=24074.25.
4. We know, that x% equals 5825.5 of the output value, so we can write it down as x%=5825.5.
5. Now we have two simple equations:
1) 100%=24074.25
2) x%=5825.5
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%=24074.25/5825.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5825.5 is what percent of 24074.25

100%/x%=24074.25/5825.5
(100/x)*x=(24074.25/5825.5)*x       - we multiply both sides of the equation by x
100=4.1325637284353*x       - we divide both sides of the equation by (4.1325637284353) to get x
100/4.1325637284353=x
24.198053937298=x
x=24.198053937298

now we have:
5825.5 is 24.198053937298% of 24074.25