What is 3.14 percent of 3.14 - 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 3.14 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 3.14 is 100%, so we can write it down as 3.14=100%.
4. We know, that x is 3.14% of the output value, so we can write it down as x=3.14%.
5. Now we have two simple equations:
1) 3.14=100%
2) x=3.14%
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:
3.14/x=100%/3.14%
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 3.14% of 3.14

3.14/x=100/3.14
(3.14/x)*x=(100/3.14)*x       - we multiply both sides of the equation by x
3.14=31.847133757962*x       - we divide both sides of the equation by (31.847133757962) to get x
3.14/31.847133757962=x
0.098596=x
x=0.098596

now we have:
3.14% of 3.14=0.098596