12.27 is what percent of 220.77 - 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 220.77 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 220.77, so we can write it down as 100%=220.77.
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%=220.77
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%=220.77/12.27
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 220.77

100%/x%=220.77/12.27
(100/x)*x=(220.77/12.27)*x       - we multiply both sides of the equation by x
100=17.992665036675*x       - we divide both sides of the equation by (17.992665036675) to get x
100/17.992665036675=x
5.5578203560266=x
x=5.5578203560266

now we have:
12.27 is 5.5578203560266% of 220.77