Consolidated Statements of Shareholders Equity Statement - USD ($) shares in Millions, $ in Millions	Total	Common Stock	Additional Paid-in Capital	Retained Earnings	Treasury Stock	Accumulated Other Comprehensive Loss	Noncontrolling Interests
Balance at Sep. 30, 2020	$ 1,079.4		$ 723.6	$ 481.4	$ (43.2)	$ (102.8)	$ 20.4
Balance, shares at Sep. 30, 2020		75.8			1.0
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Total other comprehensive income (loss), net of tax	47.5					47.6	(0.1)
Consolidated net income	198.2			194.9			3.3
Stock Repurchased During Period, Value	$ (43.4)
Stock Repurchased During Period, Shares	1.0
Common stock, shares issued					(0.5)
Shares Granted, Value, Share-based Payment Arrangement, after Forfeiture	$ 5.8		(16.2)		$ 22.0
Share-based compensation	14.7		14.7
Dividends, Common Stock	(49.8)		0.8	(49.2)			(1.4)
Balance at Jun. 30, 2021	$ 1,252.4		722.9	627.1	$ (64.6)	(55.2)	22.2
Balance, shares at Jun. 30, 2021		75.8			1.5
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common stock, dividends, per share, declared (in dollars per share)	$ 0.4300
Balance at Mar. 31, 2021	$ 1,235.7		720.5	603.1	$ (23.4)	(85.8)	21.3
Balance, shares at Mar. 31, 2021		75.8			0.6
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Total other comprehensive income (loss), net of tax	30.4					30.6	(0.2)
Consolidated net income	41.5			40.4			1.1
Stock Repurchased During Period, Value	$ (43.4)
Stock Repurchased During Period, Shares	1.0
Common stock, shares issued					(0.1)
Shares Granted, Value, Share-based Payment Arrangement, after Forfeiture	$ 0.0		(2.2)		$ 2.2
Share-based compensation	4.3		4.3
Dividends, Common Stock	(16.1)		0.3	(16.4)
Balance at Jun. 30, 2021	$ 1,252.4		722.9	627.1	$ (64.6)	(55.2)	22.2
Balance, shares at Jun. 30, 2021		75.8			1.5
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common stock, dividends, per share, declared (in dollars per share)	$ 0.2150
Balance at Sep. 30, 2021	$ 1,232.2		725.4	666.2	$ (135.7)	(46.3)	22.6
Balance, shares at Sep. 30, 2021		75.8			3.1
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Total other comprehensive income (loss), net of tax	(56.5)					(54.9)	(1.6)
Consolidated net income	156.0			152.1			3.9
Stock Repurchased During Period, Value	$ (167.0)
Stock Repurchased During Period, Shares	3.9
Common stock, shares issued					(0.9)
Shares Granted, Value, Share-based Payment Arrangement, after Forfeiture	$ 17.8		(23.1)		$ 40.9
Share-based compensation	16.4		16.4
Dividends, Common Stock	(48.6)		0.8	(47.8)			(1.6)
Balance at Jun. 30, 2022	$ 1,150.3		719.5	770.5	$ (261.8)	(101.2)	23.3
Balance, shares at Jun. 30, 2022		75.8			6.1
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common stock, dividends, per share, declared (in dollars per share)	$ 0.4350
Balance at Mar. 31, 2022	$ 1,277.8		717.3	737.1	$ (152.2)	(47.7)	23.3
Balance, shares at Mar. 31, 2022		75.8			3.4
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Total other comprehensive income (loss), net of tax	(54.8)					(53.5)	(1.3)
Consolidated net income	50.1			48.8			1.3
Stock Repurchased During Period, Value	$ (111.5)
Stock Repurchased During Period, Shares	2.7
Shares Granted, Value, Share-based Payment Arrangement, after Forfeiture	$ (0.4)		(2.3)		$ 1.9
Share-based compensation	4.4		4.4
Dividends, Common Stock	(15.3)		0.1	(15.4)
Balance at Jun. 30, 2022	$ 1,150.3		$ 719.5	$ 770.5	$ (261.8)	$ (101.2)	$ 23.3
Balance, shares at Jun. 30, 2022		75.8			6.1
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common stock, dividends, per share, declared (in dollars per share)	$ 0.2175