What is 0.99 percent of 9.99 - 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 9.99 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 9.99 is 100%, so we can write it down as 9.99=100%.
4. We know, that x is 0.99% of the output value, so we can write it down as x=0.99%.
5. Now we have two simple equations:
1) 9.99=100%
2) x=0.99%
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:
9.99/x=100%/0.99%
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 0.99% of 9.99

9.99/x=100/0.99
(9.99/x)*x=(100/0.99)*x       - we multiply both sides of the equation by x
9.99=101.0101010101*x       - we divide both sides of the equation by (101.0101010101) to get x
9.99/101.0101010101=x
0.098901=x
x=0.098901

now we have:
0.99% of 9.99=0.098901