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PHPC (Details) - USD ($)
$ / shares in Units, $ in Millions
 8 Months Ended 12 Months Ended
May 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Equity Method Investments and Joint Ventures [Abstract]          
Investments held in trust $ 353.4        
Redeemable noncontrolling interest 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 353.4        
Return of subsidiary investments held in trust account   $ 0.0 345.0 $ 0.0  
Redeemable noncontrolling interest 312.5        
Maximum interest to pay dissolution expenses         0.1
Net earnings attributable to redeemable NCI, subsequent to IPO       $ 6.7  
Initial public offering costs         17.9
Series A common stock included in each unit       1  
Deferred Offering Costs         $ 10.7
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%        
Schedule of Equity Method Investments [Line Items]          
Noncontrolling Interest, Ownership Percentage by Parent 31.00%        
PHPC | Public Shareholders          
Equity Method Investments and Joint Ventures [Abstract]          
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners 69.00%        
Schedule of Equity Method Investments [Line Items]          
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners 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       4,000,000.0
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
Redeemable Noncontrolling Interest          
Equity Method Investments and Joint Ventures [Abstract]          
Redeemable noncontrolling interest     0.0 $ 306.6 $ 305.0
Schedule of Equity Method Investments [Line Items]          
Redemption of PHPC Series A Common Stock     (312.5) 0.0  
Redeemable noncontrolling interest     0.0 306.6 $ 305.0
Net earnings attributable to redeemable NCI, subsequent to IPO     12.1 6.7  
Noncontrolling interest, Redemption value adjustment     (5.9) (1.6)  
Noncontrolling Interest, Change in Redemption Value     $ (6.2) $ (5.1)