What is 2.5 percent of 584.64 - 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 584.64 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 584.64 is 100%, so we can write it down as 584.64=100%.
4. We know, that x is 2.5% of the output value, so we can write it down as x=2.5%.
5. Now we have two simple equations:
1) 584.64=100%
2) x=2.5%
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:
584.64/x=100%/2.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 2.5% of 584.64

584.64/x=100/2.5
(584.64/x)*x=(100/2.5)*x       - we multiply both sides of the equation by x
584.64=40*x       - we divide both sides of the equation by (40) to get x
584.64/40=x
14.616=x
x=14.616

now we have:
2.5% of 584.64=14.616