What is 13.81 percent of 102.18 - 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 102.18 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 102.18 is 100%, so we can write it down as 102.18=100%.
4. We know, that x is 13.81% of the output value, so we can write it down as x=13.81%.
5. Now we have two simple equations:
1) 102.18=100%
2) x=13.81%
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:
102.18/x=100%/13.81%
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 13.81% of 102.18

102.18/x=100/13.81
(102.18/x)*x=(100/13.81)*x       - we multiply both sides of the equation by x
102.18=7.2411296162201*x       - we divide both sides of the equation by (7.2411296162201) to get x
102.18/7.2411296162201=x
14.111058=x
x=14.111058

now we have:
13.81% of 102.18=14.111058