What is 102.02 percent of 14.4 - 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 14.4 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 14.4 is 100%, so we can write it down as 14.4=100%.
4. We know, that x is 102.02% of the output value, so we can write it down as x=102.02%.
5. Now we have two simple equations:
1) 14.4=100%
2) x=102.02%
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:
14.4/x=100%/102.02%
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 102.02% of 14.4

14.4/x=100/102.02
(14.4/x)*x=(100/102.02)*x       - we multiply both sides of the equation by x
14.4=0.980199960792*x       - we divide both sides of the equation by (0.980199960792) to get x
14.4/0.980199960792=x
14.69088=x
x=14.69088

now we have:
102.02% of 14.4=14.69088