What is 3.46 percent of 4.16 - 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 4.16 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 4.16 is 100%, so we can write it down as 4.16=100%.
4. We know, that x is 3.46% of the output value, so we can write it down as x=3.46%.
5. Now we have two simple equations:
1) 4.16=100%
2) x=3.46%
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:
4.16/x=100%/3.46%
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 3.46% of 4.16

4.16/x=100/3.46
(4.16/x)*x=(100/3.46)*x       - we multiply both sides of the equation by x
4.16=28.901734104046*x       - we divide both sides of the equation by (28.901734104046) to get x
4.16/28.901734104046=x
0.143936=x
x=0.143936

now we have:
3.46% of 4.16=0.143936