What is 3.1 percent of 3.1 - 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 3.1 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 3.1 is 100%, so we can write it down as 3.1=100%.
4. We know, that x is 3.1% of the output value, so we can write it down as x=3.1%.
5. Now we have two simple equations:
1) 3.1=100%
2) x=3.1%
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:
3.1/x=100%/3.1%
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 3.1% of 3.1

3.1/x=100/3.1
(3.1/x)*x=(100/3.1)*x       - we multiply both sides of the equation by x
3.1=32.258064516129*x       - we divide both sides of the equation by (32.258064516129) to get x
3.1/32.258064516129=x
0.0961=x
x=0.0961

now we have:
3.1% of 3.1=0.0961