19.99 is what percent of 11.5 - 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 11.5 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 11.5, so we can write it down as 100%=11.5.
4. We know, that x% equals 19.99 of the output value, so we can write it down as x%=19.99.
5. Now we have two simple equations:
1) 100%=11.5
2) x%=19.99
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%=11.5/19.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.99 is what percent of 11.5

100%/x%=11.5/19.99
(100/x)*x=(11.5/19.99)*x       - we multiply both sides of the equation by x
100=0.57528764382191*x       - we divide both sides of the equation by (0.57528764382191) to get x
100/0.57528764382191=x
173.82608695652=x
x=173.82608695652

now we have:
19.99 is 173.82608695652% of 11.5