What is 28.95 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 28.95% of the output value, so we can write it down as x=28.95%.
5. Now we have two simple equations:
1) 49.95=100%
2) x=28.95%
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%/28.95%
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 28.95% of 49.95

49.95/x=100/28.95
(49.95/x)*x=(100/28.95)*x       - we multiply both sides of the equation by x
49.95=3.454231433506*x       - we divide both sides of the equation by (3.454231433506) to get x
49.95/3.454231433506=x
14.460525=x
x=14.460525

now we have:
28.95% of 49.95=14.460525