Share-Based Compensation (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Millions	3 Months Ended
	Dec. 31, 2023	Dec. 31, 2022
Share-Based Compensation (Textual) [Abstract]
Pre-tax share-based compensation expense	$ 24.2	$ 18.4
Stock options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Grants (in shares)	217	233
Weighted average share fair value (usd per share)	$ 85.91	$ 77.62
Performance shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Grants (in shares)	79	66
Weighted average share fair value (usd per share)	$ 295.06	$ 340.77
Restricted stock units
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Grants (in shares)	235	211
Weighted average share fair value (usd per share)	$ 276.46	$ 259.67
Unrestricted stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Grants (in shares)	5	6
Weighted average share fair value (usd per share)	$ 279.50	$ 259.81