What is 11 percent of 99.99 - 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 99.99 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 99.99 is 100%, so we can write it down as 99.99=100%.
4. We know, that x is 11% of the output value, so we can write it down as x=11%.
5. Now we have two simple equations:
1) 99.99=100%
2) x=11%
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:
99.99/x=100%/11%
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 11% of 99.99

99.99/x=100/11
(99.99/x)*x=(100/11)*x       - we multiply both sides of the equation by x
99.99=9.0909090909091*x       - we divide both sides of the equation by (9.0909090909091) to get x
99.99/9.0909090909091=x
10.9989=x
x=10.9989

now we have:
11% of 99.99=10.9989