4 is what percent of 12.779 - 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 12.779 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 12.779, so we can write it down as 100%=12.779.
4. We know, that x% equals 4 of the output value, so we can write it down as x%=4.
5. Now we have two simple equations:
1) 100%=12.779
2) x%=4
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%=12.779/4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4 is what percent of 12.779

100%/x%=12.779/4
(100/x)*x=(12.779/4)*x       - we multiply both sides of the equation by x
100=3.19475*x       - we divide both sides of the equation by (3.19475) to get x
100/3.19475=x
31.301353783551=x
x=31.301353783551

now we have:
4 is 31.301353783551% of 12.779