99.99 is what 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 100% equals 199.99, so we can write it down as 100%=199.99.
4. We know, that x% equals 99.99 of the output value, so we can write it down as x%=99.99.
5. Now we have two simple equations:
1) 100%=199.99
2) x%=99.99
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%=199.99/99.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.99 is what percent of 199.99

100%/x%=199.99/99.99
(100/x)*x=(199.99/99.99)*x       - we multiply both sides of the equation by x
100=2.000100010001*x       - we divide both sides of the equation by (2.000100010001) to get x
100/2.000100010001=x
49.997499874994=x
x=49.997499874994

now we have:
99.99 is 49.997499874994% of 199.99