0.49 is what percent of 6.39 - 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 6.39 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 6.39, so we can write it down as 100%=6.39.
4. We know, that x% equals 0.49 of the output value, so we can write it down as x%=0.49.
5. Now we have two simple equations:
1) 100%=6.39
2) x%=0.49
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%=6.39/0.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.49 is what percent of 6.39

100%/x%=6.39/0.49
(100/x)*x=(6.39/0.49)*x       - we multiply both sides of the equation by x
100=13.040816326531*x       - we divide both sides of the equation by (13.040816326531) to get x
100/13.040816326531=x
7.6682316118936=x
x=7.6682316118936

now we have:
0.49 is 7.6682316118936% of 6.39