Share-based Compensation - Awards Granted to Company Employees and Non-employee Directors Under the 2007 Equity Incentive Compensation Plan (Details)	6 Months Ended
	Mar. 31, 2024 $ / shares shares
Non-qualified stock options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Granted (in shares) | shares	722,695
Weighted-Average Grant Date Fair Value (in dollars per share)	$ 62.55
Weighted-Average Exercise Price (in dollars per share)	$ 249.56
Restricted stock units
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Granted (in shares) | shares	2,895,667
Weighted-Average Grant Date Fair Value (in dollars per share)	$ 251.21
Performance-based shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Granted (in shares) | shares	528,008
Weighted-Average Grant Date Fair Value (in dollars per share)	$ 281.85