What is 49.88 percent of 29.95 - 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 29.95 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 29.95 is 100%, so we can write it down as 29.95=100%.
4. We know, that x is 49.88% of the output value, so we can write it down as x=49.88%.
5. Now we have two simple equations:
1) 29.95=100%
2) x=49.88%
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:
29.95/x=100%/49.88%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 49.88% of 29.95

29.95/x=100/49.88
(29.95/x)*x=(100/49.88)*x       - we multiply both sides of the equation by x
29.95=2.0048115477145*x       - we divide both sides of the equation by (2.0048115477145) to get x
29.95/2.0048115477145=x
14.93906=x
x=14.93906

now we have:
49.88% of 29.95=14.93906