What is 2.71 percent of 2.71 - 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 2.71 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 2.71 is 100%, so we can write it down as 2.71=100%.
4. We know, that x is 2.71% of the output value, so we can write it down as x=2.71%.
5. Now we have two simple equations:
1) 2.71=100%
2) x=2.71%
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:
2.71/x=100%/2.71%
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 2.71% of 2.71

2.71/x=100/2.71
(2.71/x)*x=(100/2.71)*x       - we multiply both sides of the equation by x
2.71=36.90036900369*x       - we divide both sides of the equation by (36.90036900369) to get x
2.71/36.90036900369=x
0.073441=x
x=0.073441

now we have:
2.71% of 2.71=0.073441