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Debt and Financing Arrangements - Narrative (Details)			1 Months Ended	3 Months Ended
	Dec. 31, 2023 USD ($)	Sep. 30, 2023 USD ($)	Jan. 31, 2024	Dec. 31, 2023 USD ($)	Sep. 30, 2023 USD ($)	Sep. 30, 2023 EUR (€)	Dec. 31, 2022 USD ($)	Dec. 31, 2023 EUR (€)	Sep. 30, 2023 EUR (€)
Debt Instrument [Line Items]
Total interest paid				$ 60,000,000			$ 20,000,000
Proceeds from sale and collection of receivables	$ 85,000,000	$ 170,000,000
Senior notes
Debt Instrument [Line Items]
Proceeds from issuance of senior long-term debt				988,000,000
7.000 % Senior Secured Notes Due 2028 | Senior notes
Debt Instrument [Line Items]
Face amount of debt (up to)		$ 500,000,000			$ 500,000,000
Proceeds from issuance of senior long-term debt					$ 494,000,000
Interest rate		7.00%			7.00%				7.00%
8.250% Senior unsecured Notes Due 2031 | Unsecured debt
Debt Instrument [Line Items]
Face amount of debt (up to)		$ 500,000,000			$ 500,000,000
Proceeds from issuance of senior long-term debt					$ 494,000,000
Interest rate		8.25%			8.25%				8.25%
3.50% Notes due in 2024 | Unsecured debt
Debt Instrument [Line Items]
Payment of debt issuance cost				$ 16,000,000
Face amount of debt (up to) | €								€ 823,000,000
Interest rate	3.50%			3.50%				3.50%
Repurchased face amount		$ 743,000,000			$ 743,000,000				€ 700,000,000
Debt Instrument, unamortized premium		7,000,000			7,000,000				7,000,000
Accrued and unpaid interest		3,000,000			3,000,000				€ 3,000,000
Write off of deferred debt issuance cost					2,000,000	€ 2,000,000
Long-term debt, gross	$ 136,000,000	130,000,000		$ 136,000,000	130,000,000			€ 123,000,000
4.875% Notes due in 2026 | Unsecured debt
Debt Instrument [Line Items]
Face amount of debt (up to)	$ 795,000,000	795,000,000		$ 795,000,000	795,000,000
Interest rate	4.875%			4.875%				4.875%
Long-term debt, gross	$ 795,000,000	795,000,000		$ 795,000,000	795,000,000
Revolving Credit Facility
Debt Instrument [Line Items]
Maximum borrowing capacity	1,250,000,000			1,250,000,000
Payment of debt issuance cost				7,000,000
Credit facility expansion				250,000,000
Remaining borrowing capacity	938,000,000			$ 938,000,000
Revolving Credit Facility | Minimum
Debt Instrument [Line Items]
Commitment fee on unused portion of commitments				0.25%
Revolving Credit Facility | Minimum | EURIBOR
Debt Instrument [Line Items]
Basis spread				1.50%
Revolving Credit Facility | Maximum
Debt Instrument [Line Items]
Commitment fee on unused portion of commitments				0.375%
Revolving Credit Facility | Maximum | EURIBOR
Debt Instrument [Line Items]
Basis spread				2.00%
Revolving Credit Facility | North American Subfacility
Debt Instrument [Line Items]
Maximum borrowing capacity	950,000,000			$ 950,000,000
Revolving Credit Facility | European Subfacility
Debt Instrument [Line Items]
Maximum borrowing capacity	300,000,000			300,000,000
Letter of Credit
Debt Instrument [Line Items]
Maximum borrowing capacity	150,000,000			150,000,000
Remaining borrowing capacity	12,000,000			$ 12,000,000
Term Loan | Term Loan B due in 2028
Debt Instrument [Line Items]
Basis spread				3.25%
Face amount of debt (up to)	$ 750,000,000	$ 635,000,000		$ 750,000,000	$ 635,000,000
First lien secured net leverage ratio				1.75
Repayments of secured debt				$ 350,000,000
Term Loan | Term Loan B due in 2028 | Subsequent Event
Debt Instrument [Line Items]
Basis spread			2.75%

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