404.85 is what percent of 3099 - 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 3099 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 3099, so we can write it down as 100%=3099.
4. We know, that x% equals 404.85 of the output value, so we can write it down as x%=404.85.
5. Now we have two simple equations:
1) 100%=3099
2) x%=404.85
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%=3099/404.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 404.85 is what percent of 3099

100%/x%=3099/404.85
(100/x)*x=(3099/404.85)*x       - we multiply both sides of the equation by x
100=7.6546869210819*x       - we divide both sides of the equation by (7.6546869210819) to get x
100/7.6546869210819=x
13.063891577928=x
x=13.063891577928

now we have:
404.85 is 13.063891577928% of 3099