What is 14.4 percent of 585.15 - 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 585.15 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 585.15 is 100%, so we can write it down as 585.15=100%.
4. We know, that x is 14.4% of the output value, so we can write it down as x=14.4%.
5. Now we have two simple equations:
1) 585.15=100%
2) x=14.4%
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:
585.15/x=100%/14.4%
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 14.4% of 585.15

585.15/x=100/14.4
(585.15/x)*x=(100/14.4)*x       - we multiply both sides of the equation by x
585.15=6.9444444444444*x       - we divide both sides of the equation by (6.9444444444444) to get x
585.15/6.9444444444444=x
84.2616=x
x=84.2616

now we have:
14.4% of 585.15=84.2616