What is 20.02 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 20.02% of the output value, so we can write it down as x=20.02%.
5. Now we have two simple equations:
1) 49.95=100%
2) x=20.02%
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%/20.02%
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 20.02% of 49.95

49.95/x=100/20.02
(49.95/x)*x=(100/20.02)*x       - we multiply both sides of the equation by x
49.95=4.995004995005*x       - we divide both sides of the equation by (4.995004995005) to get x
49.95/4.995004995005=x
9.99999=x
x=9.99999

now we have:
20.02% of 49.95=9.99999