6.12 is what percent of 12.116 - 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 12.116 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 12.116, so we can write it down as 100%=12.116.
4. We know, that x% equals 6.12 of the output value, so we can write it down as x%=6.12.
5. Now we have two simple equations:
1) 100%=12.116
2) x%=6.12
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%=12.116/6.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.12 is what percent of 12.116

100%/x%=12.116/6.12
(100/x)*x=(12.116/6.12)*x       - we multiply both sides of the equation by x
100=1.9797385620915*x       - we divide both sides of the equation by (1.9797385620915) to get x
100/1.9797385620915=x
50.511720039617=x
x=50.511720039617

now we have:
6.12 is 50.511720039617% of 12.116