39.39 is what percent of 78.78 - 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 78.78 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 78.78, so we can write it down as 100%=78.78.
4. We know, that x% equals 39.39 of the output value, so we can write it down as x%=39.39.
5. Now we have two simple equations:
1) 100%=78.78
2) x%=39.39
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%=78.78/39.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.39 is what percent of 78.78

100%/x%=78.78/39.39
(100/x)*x=(78.78/39.39)*x       - we multiply both sides of the equation by x
100=2*x       - we divide both sides of the equation by (2) to get x
100/2=x
50=x
x=50

now we have:
39.39 is 50% of 78.78