2 is what percent of 2.12121212 - 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 2.12121212 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 100% equals 2.12121212, so we can write it down as 100%=2.12121212.
4. We know, that x% equals 2 of the output value, so we can write it down as x%=2.
5. Now we have two simple equations:
1) 100%=2.12121212
2) x%=2
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:
100%/x%=2.12121212/2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2 is what percent of 2.12121212

100%/x%=2.12121212/2
(100/x)*x=(2.12121212/2)*x       - we multiply both sides of the equation by x
100=1.06060606*x       - we divide both sides of the equation by (1.06060606) to get x
100/1.06060606=x
94.285714339592=x
x=94.285714339592

now we have:
2 is 94.285714339592% of 2.12121212