What is 29.94 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 49.95 is 100%, so we can write it down as 49.95=100%.
4. We know, that x is 29.94% of the output value, so we can write it down as x=29.94%.
5. Now we have two simple equations:
1) 49.95=100%
2) x=29.94%
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:
49.95/x=100%/29.94%
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 29.94% of 49.95

49.95/x=100/29.94
(49.95/x)*x=(100/29.94)*x       - we multiply both sides of the equation by x
49.95=3.3400133600534*x       - we divide both sides of the equation by (3.3400133600534) to get x
49.95/3.3400133600534=x
14.95503=x
x=14.95503

now we have:
29.94% of 49.95=14.95503