39.27 is what percent of 12.627 - 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 12.627 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 12.627, so we can write it down as 100%=12.627.
4. We know, that x% equals 39.27 of the output value, so we can write it down as x%=39.27.
5. Now we have two simple equations:
1) 100%=12.627
2) x%=39.27
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%=12.627/39.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.27 is what percent of 12.627

100%/x%=12.627/39.27
(100/x)*x=(12.627/39.27)*x       - we multiply both sides of the equation by x
100=0.32154316271963*x       - we divide both sides of the equation by (0.32154316271963) to get x
100/0.32154316271963=x
311.00023758612=x
x=311.00023758612

now we have:
39.27 is 311.00023758612% of 12.627