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Debt - Senior Credit Agreement (Details) - USD ($)	1 Months Ended	12 Months Ended
	Dec. 31, 2022	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023
Debt Instrument [Line Items]
Debt, gross		$ 1,080,600,000
Repayments of Debt		103,800,000	$ 698,800,000	$ 920,900,000
Line of Credit
Debt Instrument [Line Items]
Interest expense on debt		61,900,000	74,300,000	68,500,000
Secured Debt | Line of Credit
Debt Instrument [Line Items]
Payments for Loans		23,800,000
Revolver | Line of Credit
Debt Instrument [Line Items]
Debt, gross		$ 130,000,000.0	$ 125,000,000.0
Interest expense on debt				$ 1,100,000
Effective interest rate		6.00%	7.065%
2022 Credit Facilities
Debt Instrument [Line Items]
Principal amount of line of credit	$ 950,000,000.0
2022 Credit Facilities | Minimum | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		1.375%
2022 Credit Facilities | Minimum | Base Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		0.375%
2022 Credit Facilities | Maximum | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		2.25%
2022 Credit Facilities | Maximum | Base Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate		1.25%
2022 Credit Facilities | Line of Credit
Debt Instrument [Line Items]
Maximum consolidated leverage ratio		4.5
Minimum consolidated interest coverage ratio		3.0
2022 Term Loans | Secured Debt | Line of Credit
Debt Instrument [Line Items]
Principal amount of line of credit	$ 475,000,000.0
Term of debt	5 years
Debt Instrument, Periodic Payment		$ 5,900,000
2022 Revolver | Revolver | Line of Credit
Debt Instrument [Line Items]
Principal amount of line of credit	$ 475,000,000.0
Term of debt	5 years
Line of credit, sublimit	$ 100,000,000.0
Remaining borrowing capacity		341,600,000
2019 Term Loans | Revolver | Line of Credit
Debt Instrument [Line Items]
Repayments of Debt		445,600,000
2019 Credit Facilities | Revolver | Line of Credit
Debt Instrument [Line Items]
Repayments of Debt		290,000,000.0
Term Loan | Secured Debt | Line of Credit
Debt Instrument [Line Items]
Debt, gross		$ 415,600,000	$ 439,400,000
Effective interest rate		6.04%	7.015%
Term Loan | Revolver | Line of Credit
Debt Instrument [Line Items]
Letters of credit outstanding		$ 3,400,000

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