What is 138.88 percent of 12.5 - 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 12.5 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 12.5 is 100%, so we can write it down as 12.5=100%.
4. We know, that x is 138.88% of the output value, so we can write it down as x=138.88%.
5. Now we have two simple equations:
1) 12.5=100%
2) x=138.88%
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:
12.5/x=100%/138.88%
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 138.88% of 12.5

12.5/x=100/138.88
(12.5/x)*x=(100/138.88)*x       - we multiply both sides of the equation by x
12.5=0.72004608294931*x       - we divide both sides of the equation by (0.72004608294931) to get x
12.5/0.72004608294931=x
17.36=x
x=17.36

now we have:
138.88% of 12.5=17.36