What is 9.95 percent of 9.95 - 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 9.95 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 9.95 is 100%, so we can write it down as 9.95=100%.
4. We know, that x is 9.95% of the output value, so we can write it down as x=9.95%.
5. Now we have two simple equations:
1) 9.95=100%
2) x=9.95%
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:
9.95/x=100%/9.95%
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 9.95% of 9.95

9.95/x=100/9.95
(9.95/x)*x=(100/9.95)*x       - we multiply both sides of the equation by x
9.95=10.050251256281*x       - we divide both sides of the equation by (10.050251256281) to get x
9.95/10.050251256281=x
0.990025=x
x=0.990025

now we have:
9.95% of 9.95=0.990025