What is 38.888888888889 percent of 125 - 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 125 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 125 is 100%, so we can write it down as 125=100%.
4. We know, that x is 38.888888888889% of the output value, so we can write it down as x=38.888888888889%.
5. Now we have two simple equations:
1) 125=100%
2) x=38.888888888889%
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:
125/x=100%/38.888888888889%
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 38.888888888889% of 125

125/x=100/38.888888888889
(125/x)*x=(100/38.888888888889)*x       - we multiply both sides of the equation by x
125=2.5714285714286*x       - we divide both sides of the equation by (2.5714285714286) to get x
125/2.5714285714286=x
48.611111111111=x
x=48.611111111111

now we have:
38.888888888889% of 125=48.611111111111