What is 110.28 percent of 12.83 - 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 12.83 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 12.83 is 100%, so we can write it down as 12.83=100%.
4. We know, that x is 110.28% of the output value, so we can write it down as x=110.28%.
5. Now we have two simple equations:
1) 12.83=100%
2) x=110.28%
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:
12.83/x=100%/110.28%
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 110.28% of 12.83

12.83/x=100/110.28
(12.83/x)*x=(100/110.28)*x       - we multiply both sides of the equation by x
12.83=0.90678273485673*x       - we divide both sides of the equation by (0.90678273485673) to get x
12.83/0.90678273485673=x
14.148924=x
x=14.148924

now we have:
110.28% of 12.83=14.148924