49.49 is what percent of 15 - 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 15 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 15, so we can write it down as 100%=15.
4. We know, that x% equals 49.49 of the output value, so we can write it down as x%=49.49.
5. Now we have two simple equations:
1) 100%=15
2) x%=49.49
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%=15/49.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.49 is what percent of 15

100%/x%=15/49.49
(100/x)*x=(15/49.49)*x       - we multiply both sides of the equation by x
100=0.30309153364316*x       - we divide both sides of the equation by (0.30309153364316) to get x
100/0.30309153364316=x
329.93333333333=x
x=329.93333333333

now we have:
49.49 is 329.93333333333% of 15