What is 3.81 percent of 12.8045 - 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 12.8045 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 12.8045 is 100%, so we can write it down as 12.8045=100%.
4. We know, that x is 3.81% of the output value, so we can write it down as x=3.81%.
5. Now we have two simple equations:
1) 12.8045=100%
2) x=3.81%
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:
12.8045/x=100%/3.81%
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 3.81% of 12.8045

12.8045/x=100/3.81
(12.8045/x)*x=(100/3.81)*x       - we multiply both sides of the equation by x
12.8045=26.246719160105*x       - we divide both sides of the equation by (26.246719160105) to get x
12.8045/26.246719160105=x
0.48785145=x
x=0.48785145

now we have:
3.81% of 12.8045=0.48785145