What is 3.1459 percent of 3.1459 - 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 3.1459 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 3.1459 is 100%, so we can write it down as 3.1459=100%.
4. We know, that x is 3.1459% of the output value, so we can write it down as x=3.1459%.
5. Now we have two simple equations:
1) 3.1459=100%
2) x=3.1459%
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:
3.1459/x=100%/3.1459%
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 3.1459% of 3.1459

3.1459/x=100/3.1459
(3.1459/x)*x=(100/3.1459)*x       - we multiply both sides of the equation by x
3.1459=31.78740582981*x       - we divide both sides of the equation by (31.78740582981) to get x
3.1459/31.78740582981=x
0.0989668681=x
x=0.0989668681

now we have:
3.1459% of 3.1459=0.0989668681