What is 3.394 percent of 12.784 - 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 12.784 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 12.784 is 100%, so we can write it down as 12.784=100%.
4. We know, that x is 3.394% of the output value, so we can write it down as x=3.394%.
5. Now we have two simple equations:
1) 12.784=100%
2) x=3.394%
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:
12.784/x=100%/3.394%
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 3.394% of 12.784

12.784/x=100/3.394
(12.784/x)*x=(100/3.394)*x       - we multiply both sides of the equation by x
12.784=29.463759575722*x       - we divide both sides of the equation by (29.463759575722) to get x
12.784/29.463759575722=x
0.43388896=x
x=0.43388896

now we have:
3.394% of 12.784=0.43388896