What is 12.68 percent of 48.1 - 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 48.1 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 48.1 is 100%, so we can write it down as 48.1=100%.
4. We know, that x is 12.68% of the output value, so we can write it down as x=12.68%.
5. Now we have two simple equations:
1) 48.1=100%
2) x=12.68%
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:
48.1/x=100%/12.68%
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 12.68% of 48.1

48.1/x=100/12.68
(48.1/x)*x=(100/12.68)*x       - we multiply both sides of the equation by x
48.1=7.8864353312303*x       - we divide both sides of the equation by (7.8864353312303) to get x
48.1/7.8864353312303=x
6.09908=x
x=6.09908

now we have:
12.68% of 48.1=6.09908