Consolidated Statements of Shareholder's Equity - USD ($) shares in Millions, $ in Millions	Total	Accelerated share repurchase	Treasury stock repurchases	Total Shareholders’ Equity	Total Shareholders’ Equity Accelerated share repurchase	Total Shareholders’ Equity Treasury stock repurchases	Common Stock	Common Stock Accelerated share repurchase	Common Stock Treasury stock repurchases	Additional Paid-in Capital	Additional Paid-in Capital Accelerated share repurchase	Accumulated Earnings	Accumulated Other Comprehensive Loss	Treasury Stock	Treasury Stock Accelerated share repurchase	Treasury Stock Treasury stock repurchases	Non- controlling Interest
Balance at beginning of period at Sep. 30, 2021													$ (235.3)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net (loss) income from continuing operations	$ (77.0)
Income from discontinued operations, net of tax	149.7
Other comprehensive income, net of tax	$ (68.7)
Treasury stock repurchases (in shares)	(1.4)	0.0
Treasury stock repurchases														$ (134.0)	$ 0.0
Balance at end of period (in shares) at Sep. 30, 2022							40.8
Balance at end of period at Sep. 30, 2022	$ 1,269.1			$ 1,263.2			$ 0.5			$ 2,032.5		$ 362.1	(303.1)	(828.8)			$ 5.9
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net (loss) income from continuing operations	(233.7)			(233.8)								(233.8)					0.1
Income from discontinued operations, net of tax	2,035.6			2,035.3								2,035.3					0.3
Sale and deconsolidation of assets held for sale	19.4			25.3									25.3				(5.9)
Other comprehensive income, net of tax	28.7			28.4									28.4				0.3
Other comprehensive income, net of tax	$ 54.8
Treasury stock repurchases (in shares)	(5.7)	(5.3)						(5.3)	(0.4)
Treasury stock repurchases		$ (500.0)	$ (34.7)		$ (500.0)	$ (34.7)					$ (100.0)			(434.7)	(400.0)	$ (34.7)
Excise tax on net share repurchases	$ (4.2)			(4.2)										(4.2)
Restricted stock issued and related tax withholdings (in shares)							0.2
Restricted stock issued and related tax withholdings	(12.9)			(12.9)						(30.3)				17.4
Share based compensation	18.6			18.6						18.6
Dividends declared to common shareholders	(67.6)			(67.6)								(67.6)
Balance at end of period (in shares) at Sep. 30, 2023							35.3
Balance at end of period at Sep. 30, 2023	2,518.3			2,517.6			$ 0.5			1,920.8		2,096.0	(249.4)	(1,250.3)			0.7
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net (loss) income from continuing operations	99.3			99.3								99.3
Income from discontinued operations, net of tax	25.5			25.5								25.5
Other comprehensive income, net of tax	45.5			45.4									45.4				0.1
Premium on capped call transactions, net of tax	$ (18.8)			(18.8)						(18.8)
Treasury stock repurchases (in shares)	(7.4)	(1.3)						(1.3)	(6.1)
Treasury stock repurchases		$ 0.0	$ (482.7)		$ 0.0	$ (482.7)					$ 83.2			(565.9)	$ (83.2)	$ (482.7)
Excise tax on net share repurchases	$ (5.6)			(5.6)										(5.6)
Restricted stock issued and related tax withholdings (in shares)							0.1
Restricted stock issued and related tax withholdings	(5.5)			(5.5)						(14.6)				9.1
Share based compensation	17.5			17.5						17.5
Dividends declared to common shareholders	(51.8)			(51.8)								(51.8)
Balance at end of period (in shares) at Sep. 30, 2024							28.0
Balance at end of period at Sep. 30, 2024	$ 2,141.7			$ 2,140.9			$ 0.5			$ 1,988.1		$ 2,169.0	$ (204.0)	$ (1,812.7)			$ 0.8