CONSOLIDATED STATEMENTS OF SHAREHOLDERS' EQUITY - USD ($) $ in Millions	Total	Cumulative Effect, Period of Adoption, Adjustment	Revision of Prior Period, Change in Accounting Principle, Adjustment [Member]	Common Stock	Common Stock Revision of Prior Period, Change in Accounting Principle, Adjustment [Member]	Additional Paid-In Capital	Additional Paid-In Capital Revision of Prior Period, Change in Accounting Principle, Adjustment [Member]	Retained Earnings	Retained Earnings Cumulative Effect, Period of Adoption, Adjustment	Retained Earnings Revision of Prior Period, Change in Accounting Principle, Adjustment [Member]	Accumulated Other Comprehensive Income (Loss)	Accumulated Other Comprehensive Income (Loss) Revision of Prior Period, Change in Accounting Principle, Adjustment [Member]	Common Stock in Treasury, at Cost	Common Stock in Treasury, at Cost Revision of Prior Period, Change in Accounting Principle, Adjustment [Member]
Balance at Sep. 30, 2019	$ 2,599.8	$ 76.7	$ 2,676.5	$ 0.7	$ 0.7	$ 808.5	$ 808.5	$ 2,505.0	$ 76.7	$ 2,581.7	$ (201.6)	$ (201.6)	$ (512.8)	$ (512.8)
Net income	321.5							321.5
Employee pension and postretirement benefits, net of tax	(26.5)										(26.5)
Currency translation adjustments	30.4										30.4
Gain (loss) on derivative instruments, net of tax	(0.7)										(0.7)
Cash dividends	(81.8)							(81.8)
Repurchases of Common Stock	(40.8)												(40.8)
Exercise of stock options	26.1					(11.6)							37.7
Stock-based compensation expense	29.3					29.3
Payment of stock-based restricted and performance shares						(23.0)							23.0
Shares tendered for taxes on stock-based compensation	(10.7)												(10.7)
Other	1.1					(2.3)							3.4
Balance at Sep. 30, 2020	2,924.4			0.7		800.9		2,821.4			(198.4)		(500.2)
Net income	508.9							508.9
Employee pension and postretirement benefits, net of tax	61.7										61.7
Currency translation adjustments	3.8										3.8
Gain (loss) on derivative instruments, net of tax	1.9										1.9
Cash dividends	(90.4)							(90.4)
Repurchases of Common Stock	(107.8)												(107.8)
Exercise of stock options	42.8					0.2							42.6
Stock-based compensation expense	27.2					27.2
Payment of stock-based restricted and performance shares						(23.3)							23.3
Shares tendered for taxes on stock-based compensation	(14.3)												(14.3)
Other	(0.5)					(0.4)		(0.7)					0.6
Balance at Sep. 30, 2021	3,357.7			0.7		804.6		3,239.2			(131.0)		(555.8)
Net income	24.2							24.2
Employee pension and postretirement benefits, net of tax	8.6										8.6
Currency translation adjustments	(6.9)										(6.9)
Gain (loss) on derivative instruments, net of tax	0.7										0.7
Cash dividends	(24.9)							(24.9)
Repurchases of Common Stock	(150.0)												(150.0)
Exercise of stock options	2.7					0.1							2.6
Stock-based compensation expense	4.2					4.2
Payment of stock-based restricted and performance shares						(16.5)							16.5
Shares tendered for taxes on stock-based compensation	(12.0)												(12.0)
Balance at Dec. 31, 2021	3,204.3			0.7		792.4		3,238.5			(128.6)		(698.7)
Net income	173.9							173.9
Employee pension and postretirement benefits, net of tax	56.7										56.7
Currency translation adjustments	(26.4)										(26.4)
Gain (loss) on derivative instruments, net of tax	6.0										6.0
Cash dividends	(97.3)							(97.3)
Repurchases of Common Stock	(155.0)												(155.0)
Exercise of stock options	3.1					(0.3)							3.4
Stock-based compensation expense	28.6					28.6
Payment of stock-based restricted and performance shares						(14.0)							14.0
Shares tendered for taxes on stock-based compensation	(8.3)												(8.3)
Other	0.1					(0.7)		(0.1)					0.9
Balance at Dec. 31, 2022	$ 3,185.7			$ 0.7		$ 806.0		$ 3,315.0			$ (92.3)		$ (843.7)