39 is what percent of 49.95 - 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 49.95 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 49.95, so we can write it down as 100%=49.95.
4. We know, that x% equals 39 of the output value, so we can write it down as x%=39.
5. Now we have two simple equations:
1) 100%=49.95
2) x%=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%=49.95/39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39 is what percent of 49.95

100%/x%=49.95/39
(100/x)*x=(49.95/39)*x       - we multiply both sides of the equation by x
100=1.2807692307692*x       - we divide both sides of the equation by (1.2807692307692) to get x
100/1.2807692307692=x
78.078078078078=x
x=78.078078078078

now we have:
39 is 78.078078078078% of 49.95