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Share-Based Compensation (Summary of Stock Option Activity) (Details)
shares in Thousands
12 Months Ended
Sep. 30, 2021
$ / shares
shares
Shares  
Outstanding, beginning (shares) | shares 941
Exercised (shares) | shares (140)
Outstanding, ending (shares) | shares 801
Exercisable (shares) | shares 801
Weighted Average Exercise Price  
Outstanding, beginning (in dollars per share) | $ / shares $ 96.95
Exercised (in dollars per share) | $ / shares 80.63
Outstanding, ending (in dollars per share) | $ / shares 99.79
Exercisable (in dollars per share) | $ / shares $ 99.79