I found a world clock meeting schedule tool on timeanddate.com. Plugging in Kansas City, Missouri, Sydney, Australia, and Orebro, Sweden, the best times are as follows:

4pm KC, 7am Sydney, 11pm Orebro
10pm KC, 1pm Sydney, 5am Orebro
7am KC, 10pm Sydney, 2pm Orebro

Here's the full schedule: The World Clock Meeting Planner - Results