What is 9.9954997749887 percent of 199.99 - 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 199.99 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 199.99 is 100%, so we can write it down as 199.99=100%.
4. We know, that x is 9.9954997749887% of the output value, so we can write it down as x=9.9954997749887%.
5. Now we have two simple equations:
1) 199.99=100%
2) x=9.9954997749887%
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:
199.99/x=100%/9.9954997749887%
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 9.9954997749887% of 199.99

199.99/x=100/9.9954997749887
(199.99/x)*x=(100/9.9954997749887)*x       - we multiply both sides of the equation by x
199.99=10.004502251126*x       - we divide both sides of the equation by (10.004502251126) to get x
199.99/10.004502251126=x
19.99=x
x=19.99

now we have:
9.9954997749887% of 199.99=19.99