What is 95 percent of 0.0999999 - 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 0.0999999 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 0.0999999 is 100%, so we can write it down as 0.0999999=100%.
4. We know, that x is 95% of the output value, so we can write it down as x=95%.
5. Now we have two simple equations:
1) 0.0999999=100%
2) x=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:
0.0999999/x=100%/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 95% of 0.0999999

0.0999999/x=100/95
(0.0999999/x)*x=(100/95)*x       - we multiply both sides of the equation by x
0.0999999=1.0526315789474*x       - we divide both sides of the equation by (1.0526315789474) to get x
0.0999999/1.0526315789474=x
0.094999905=x
x=0.094999905

now we have:
95% of 0.0999999=0.094999905