12.27 is what percent of 77.55 - 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 77.55 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 77.55, so we can write it down as 100%=77.55.
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%=77.55
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%=77.55/12.27
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 77.55

100%/x%=77.55/12.27
(100/x)*x=(77.55/12.27)*x       - we multiply both sides of the equation by x
100=6.320293398533*x       - we divide both sides of the equation by (6.320293398533) to get x
100/6.320293398533=x
15.822050290135=x
x=15.822050290135

now we have:
12.27 is 15.822050290135% of 77.55