What is 3.35 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 3.35% of the output value, so we can write it down as x=3.35%.
5. Now we have two simple equations:
1) 12.88=100%
2) x=3.35%
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%/3.35%
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 3.35% of 12.88

12.88/x=100/3.35
(12.88/x)*x=(100/3.35)*x       - we multiply both sides of the equation by x
12.88=29.850746268657*x       - we divide both sides of the equation by (29.850746268657) to get x
12.88/29.850746268657=x
0.43148=x
x=0.43148

now we have:
3.35% of 12.88=0.43148