What is 3.47 percent of 12.88 - 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 12.88 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 12.88 is 100%, so we can write it down as 12.88=100%.
4. We know, that x is 3.47% of the output value, so we can write it down as x=3.47%.
5. Now we have two simple equations:
1) 12.88=100%
2) x=3.47%
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:
12.88/x=100%/3.47%
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 3.47% of 12.88

12.88/x=100/3.47
(12.88/x)*x=(100/3.47)*x       - we multiply both sides of the equation by x
12.88=28.818443804035*x       - we divide both sides of the equation by (28.818443804035) to get x
12.88/28.818443804035=x
0.446936=x
x=0.446936

now we have:
3.47% of 12.88=0.446936