284.6 is what percent of 4584.6 - 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 4584.6 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 4584.6, so we can write it down as 100%=4584.6.
4. We know, that x% equals 284.6 of the output value, so we can write it down as x%=284.6.
5. Now we have two simple equations:
1) 100%=4584.6
2) x%=284.6
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%=4584.6/284.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 284.6 is what percent of 4584.6

100%/x%=4584.6/284.6
(100/x)*x=(4584.6/284.6)*x       - we multiply both sides of the equation by x
100=16.108924806746*x       - we divide both sides of the equation by (16.108924806746) to get x
100/16.108924806746=x
6.2077389521441=x
x=6.2077389521441

now we have:
284.6 is 6.2077389521441% of 4584.6