What is 3.09 percent of 3.52 - 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 3.52 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 3.52 is 100%, so we can write it down as 3.52=100%.
4. We know, that x is 3.09% of the output value, so we can write it down as x=3.09%.
5. Now we have two simple equations:
1) 3.52=100%
2) x=3.09%
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:
3.52/x=100%/3.09%
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 3.09% of 3.52

3.52/x=100/3.09
(3.52/x)*x=(100/3.09)*x       - we multiply both sides of the equation by x
3.52=32.362459546926*x       - we divide both sides of the equation by (32.362459546926) to get x
3.52/32.362459546926=x
0.108768=x
x=0.108768

now we have:
3.09% of 3.52=0.108768