What is 2.14 percent of 2.14 - 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 2.14 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 2.14 is 100%, so we can write it down as 2.14=100%.
4. We know, that x is 2.14% of the output value, so we can write it down as x=2.14%.
5. Now we have two simple equations:
1) 2.14=100%
2) x=2.14%
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:
2.14/x=100%/2.14%
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 2.14% of 2.14

2.14/x=100/2.14
(2.14/x)*x=(100/2.14)*x       - we multiply both sides of the equation by x
2.14=46.728971962617*x       - we divide both sides of the equation by (46.728971962617) to get x
2.14/46.728971962617=x
0.045796=x
x=0.045796

now we have:
2.14% of 2.14=0.045796