12.27 is what percent of 412.66 - 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 412.66 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 412.66, so we can write it down as 100%=412.66.
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%=412.66
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%=412.66/12.27
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 412.66

100%/x%=412.66/12.27
(100/x)*x=(412.66/12.27)*x       - we multiply both sides of the equation by x
100=33.631621841891*x       - we divide both sides of the equation by (33.631621841891) to get x
100/33.631621841891=x
2.9733921388068=x
x=2.9733921388068

now we have:
12.27 is 2.9733921388068% of 412.66