PHPC (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021	May 30, 2023	Sep. 30, 2020
Equity Method Investments and Joint Ventures [Abstract]
Proceeds from subsidiary initial public offering	$ 0.0	$ 0.0	$ 305.0
Investments held in trust	0.0	346.8		$ 353.4
Redeemable noncontrolling interest	0.0	306.6		312.5
Initial public offering costs			17.9
Deferred Offering Costs		10.7
Schedule of Equity Method Investments [Line Items]
Gain on write-off of underwriting commissions	10.7
Investments held in trust	0.0	346.8		353.4
Return of subsidiary investments held in trust account	345.0	0.0	0.0
Redeemable noncontrolling interest	0.0	306.6		$ 312.5
Maximum interest to pay dissolution expenses		$ 0.1
Net earnings attributable to redeemable NCI, subsequent to IPO			5.8
Initial public offering costs			(17.9)
Series A common stock included in each unit		1
Proceeds from subsidiary initial public offering	0.0	$ 0.0	305.0
Deferred Offering Costs		$ 10.7
Warrants included in each PHPC unit		0.333
Selling, general and administrative expenses
Equity Method Investments and Joint Ventures [Abstract]
Initial public offering costs			(1.0)
Schedule of Equity Method Investments [Line Items]
Initial public offering costs			1.0
Redeemable Noncontrolling Interest
Equity Method Investments and Joint Ventures [Abstract]
Initial public offering costs			(16.9)
Schedule of Equity Method Investments [Line Items]
Initial public offering costs			16.9
PHPC
Equity Method Investments and Joint Ventures [Abstract]
Proceeds from subsidiary initial public offering		$ 345.0
Schedule of Equity Method Investments [Line Items]
Proceeds from subsidiary initial public offering		$ 345.0
PHPC Sponsor | Series F Common Stock
Schedule of Equity Method Investments [Line Items]
Common Stock, Shares, Outstanding		8,600,000
PHPC | Post
Equity Method Investments and Joint Ventures [Abstract]
Noncontrolling Interest, Ownership Percentage by Parent		31.00%		31.00%
Schedule of Equity Method Investments [Line Items]
Noncontrolling Interest, Ownership Percentage by Parent		31.00%		31.00%
PHPC | Public Shareholders
Equity Method Investments and Joint Ventures [Abstract]
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners		69.00%		69.00%
Schedule of Equity Method Investments [Line Items]
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners		69.00%		69.00%
PHPC Units
Equity Method Investments and Joint Ventures [Abstract]
Share Price		$ 10.00
Schedule of Equity Method Investments [Line Items]
Redemption Price				$ 10.24
Common Unit, Issued		34,500,000
Share Price		$ 10.00
PHPC Units | PHPC
Equity Method Investments and Joint Ventures [Abstract]
Proceeds from subsidiary initial public offering			345.0
Schedule of Equity Method Investments [Line Items]
Proceeds from subsidiary initial public offering			345.0
PHPC Units | PHPC Sponsor
Schedule of Equity Method Investments [Line Items]
Return of subsidiary investments held in trust account	40.9
Common Unit, Issued		4,000,000		4,000,000
PHPC warrants
Schedule of Equity Method Investments [Line Items]
Class of Warrant or Right, Exercise Price of Warrants or Rights		$ 11.50
PHPC Private Placement Units
Equity Method Investments and Joint Ventures [Abstract]
Share Price		10.00
Schedule of Equity Method Investments [Line Items]
Share Price		10.00
Proceeds from Issuance of Private Placement			$ 10.9
PHPC Private Placement Units | PHPC Sponsor
Schedule of Equity Method Investments [Line Items]
Common Unit, Issued			1,100,000
PHPC Forward Purchase Units
Equity Method Investments and Joint Ventures [Abstract]
Share Price		10.00
Schedule of Equity Method Investments [Line Items]
Share Price		$ 10.00
PHPC Forward Purchase Units | Maximum
Equity Method Investments and Joint Ventures [Abstract]
Common Unit, Authorized			10,000,000
Schedule of Equity Method Investments [Line Items]
Common Unit, Authorized			10,000,000
PHPC Forward Purchase Units | PHPC Sponsor | Maximum
Equity Method Investments and Joint Ventures [Abstract]
Potential Proceeds from Issuance of Forward Purchase Agreement		$ 100.0
Schedule of Equity Method Investments [Line Items]
Potential Proceeds from Issuance of Forward Purchase Agreement		100.0
Redeemable Noncontrolling Interest
Equity Method Investments and Joint Ventures [Abstract]
Redeemable noncontrolling interest	0.0	306.6	$ 305.0		$ 0.0
Initial public offering costs	0.0	0.0	16.9
Schedule of Equity Method Investments [Line Items]
Redemption of PHPC Series A Common Stock	(312.5)	0.0	0.0
Redeemable noncontrolling interest	0.0	306.6	305.0		$ 0.0
Initial public offering	0.0	0.0	271.2
Net earnings attributable to redeemable NCI, subsequent to IPO	12.1	6.7	5.8
Noncontrolling interest, Redemption value adjustment	(5.9)	(1.6)	0.0
Noncontrolling Interest, Change in Redemption Value	(6.2)	(5.1)	28.0
Initial public offering costs	0.0	0.0	(16.9)
Warrant Initial Valuation	$ 0.0	$ 0.0	$ 16.9