What is 83.24 percent of 14.28 - 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 14.28 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 14.28 is 100%, so we can write it down as 14.28=100%.
4. We know, that x is 83.24% of the output value, so we can write it down as x=83.24%.
5. Now we have two simple equations:
1) 14.28=100%
2) x=83.24%
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:
14.28/x=100%/83.24%
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 83.24% of 14.28

14.28/x=100/83.24
(14.28/x)*x=(100/83.24)*x       - we multiply both sides of the equation by x
14.28=1.2013455069678*x       - we divide both sides of the equation by (1.2013455069678) to get x
14.28/1.2013455069678=x
11.886672=x
x=11.886672

now we have:
83.24% of 14.28=11.886672