39.13 is what percent of 49.52 - 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 49.52 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 49.52, so we can write it down as 100%=49.52.
4. We know, that x% equals 39.13 of the output value, so we can write it down as x%=39.13.
5. Now we have two simple equations:
1) 100%=49.52
2) x%=39.13
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%=49.52/39.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.13 is what percent of 49.52

100%/x%=49.52/39.13
(100/x)*x=(49.52/39.13)*x       - we multiply both sides of the equation by x
100=1.2655251725019*x       - we divide both sides of the equation by (1.2655251725019) to get x
100/1.2655251725019=x
79.018578352181=x
x=79.018578352181

now we have:
39.13 is 79.018578352181% of 49.52