199.99 is what percent of 199999 - 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 199999 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 100% equals 199999, so we can write it down as 100%=199999.
4. We know, that x% equals 199.99 of the output value, so we can write it down as x%=199.99.
5. Now we have two simple equations:
1) 100%=199999
2) x%=199.99
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:
100%/x%=199999/199.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.99 is what percent of 199999

100%/x%=199999/199.99
(100/x)*x=(199999/199.99)*x       - we multiply both sides of the equation by x
100=1000.0450022501*x       - we divide both sides of the equation by (1000.0450022501) to get x
100/1000.0450022501=x
0.0999954999775=x
x=0.0999954999775

now we have:
199.99 is 0.0999954999775% of 199999