284.16 is what percent of 12000 - 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 12000 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 12000, so we can write it down as 100%=12000.
4. We know, that x% equals 284.16 of the output value, so we can write it down as x%=284.16.
5. Now we have two simple equations:
1) 100%=12000
2) x%=284.16
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%=12000/284.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 284.16 is what percent of 12000

100%/x%=12000/284.16
(100/x)*x=(12000/284.16)*x       - we multiply both sides of the equation by x
100=42.22972972973*x       - we divide both sides of the equation by (42.22972972973) to get x
100/42.22972972973=x
2.368=x
x=2.368

now we have:
284.16 is 2.368% of 12000