12.27 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 12.27 of the output value, so we can write it down as x%=12.27.
5. Now we have two simple equations:
1) 100%=100
2) x%=12.27
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%=100/12.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.27 is what percent of 100

100%/x%=100/12.27
(100/x)*x=(100/12.27)*x       - we multiply both sides of the equation by x
100=8.1499592502038*x       - we divide both sides of the equation by (8.1499592502038) to get x
100/8.1499592502038=x
12.27=x
x=12.27

now we have:
12.27 is 12.27% of 100