Share-Based Compensation (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Millions	3 Months Ended		9 Months Ended
	Jun. 30, 2023	Jun. 30, 2022	Jun. 30, 2023	Jun. 30, 2022
Share-Based Compensation (Textual) [Abstract]
Pre-tax share-based compensation expense	$ 23.4	$ 17.6	$ 65.0	$ 48.8
Stock options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Grants (in shares)			233	164
Weighted average share fair value (usd per share)			$ 77.62	$ 87.68
Performance shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Grants (in shares)			66	37
Weighted average share fair value (usd per share)			$ 340.77	$ 481.28
Restricted stock and restricted stock units
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Grants (in shares)			236	214
Weighted average share fair value (usd per share)			$ 262.24	$ 307.31
Unrestricted stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Grants (in shares)			7	3
Weighted average share fair value (usd per share)			$ 261.72	$ 345.00