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Debt (Details) $ / shares in Units, € in Millions, $ in Millions	1 Months Ended			3 Months Ended			9 Months Ended
	May 31, 2023 USD ($)	May 31, 2023 EUR (€)	Aug. 31, 2022 USD ($)	Jun. 30, 2023 USD ($)	Sep. 30, 2022 USD ($)	Mar. 31, 2022 USD ($)	Sep. 30, 2023 USD ($) agreement $ / shares	Sep. 30, 2023 EUR (€)	May 31, 2023 EUR (€)	May 26, 2023 USD ($)	May 26, 2023 EUR (€)	May 15, 2023 USD ($)	May 11, 2023 USD ($)	May 11, 2023 EUR (€)	Dec. 31, 2022 USD ($)	Dec. 31, 2022 EUR (€)	Sep. 30, 2022 EUR (€)	Jul. 18, 2022 USD ($)	Mar. 25, 2022 USD ($)	Mar. 01, 2022 USD ($)	Feb. 28, 2022 USD ($)	Feb. 10, 2022 USD ($)
Debt Instrument
Total long-term debt					$ 4,560.0		$ 4,807.0								$ 4,671.0
Less amounts due within one year					280.0		53.0								300.0
Long-term debt					4,280.0		4,754.0								4,371.0
Additional interest charges for note repurchase premiums and write-off of unamortized finance fees				$ 39.0	1.0
Maximum Borrowing Capacity																			$ 2,800.0
Additional interest charges for related party fees						$ 2.0
Paddock
Debt Instrument
Face value																		$ 8.5
Secured Credit Agreement
Debt Instrument
Unused Credit							$ 1,240.0
Number of financial maintenance covenants \| agreement							1
Additional default interest rate per annum applied to all obligations owed under the Agreement							2.00%
Secured Credit Agreement \| Minimum
Debt Instrument
Interest rate margin, Term SOFR loans and Euro currency rate loans							1.00%	1.00%
Interest rate margin, Base Rate loans (as a percent)							0.00%
Facility fee payable (as a percent)							0.20%
Secured Credit Agreement \| Maximum
Debt Instrument
Interest rate margin, Term SOFR loans and Euro currency rate loans							2.25%	2.25%
Interest rate margin, Base Rate loans (as a percent)							1.25%
Leverage Ratio							2.50
Facility fee payable (as a percent)							0.35%
Revolving Loans
Debt Instrument
Weighted average interest rate (as a percent)							6.84%	6.84%
Term Loan A
Debt Instrument
Total long-term debt					1,444.0		$ 1,427.0								1,426.0
Maximum Borrowing Capacity							$ 1,450.0
Senior Notes
Debt Instrument
Additional interest charges for note repurchase premiums and write-off of unamortized finance fees						$ 16.0
Senior Notes 5.875%, due 2023
Debt Instrument
Total long-term debt	$ 108.0				249.0					$ 142.0			$ 250.0		249.0
Interest rate, stated percentage	5.875%		5.875%				5.875%	5.875%	5.875%	5.875%	5.875%		5.875%	5.875%						5.875%	5.875%	5.875%
Debt repurchased amount																					$ 150.0	$ 250.0
Debt redeemed			$ 300.0
Additional interest charges for note repurchase premiums and write-off of unamortized finance fees			7.0
Fair values of fixed rate debt obligations
Principal Amount			$ 250.0																	$ 550.0
Senior Notes 3.125%, due 2024 (725 million EUR)
Debt Instrument
Total long-term debt					674.0		$ 60.0	€ 725.0	€ 58.0		€ 666.7			€ 725.0	731.0	€ 725.0	€ 725.0
Interest rate, stated percentage	3.125%						3.125%	3.125%	3.125%	3.125%	3.125%		3.125%	3.125%
Fair values of fixed rate debt obligations
Principal Amount							$ 62.0
Indicated Market Price (in dollars per share) \| $ / shares							$ 98.37
Fair Value							$ 61.0
Senior Notes 6.375%, due 2025
Debt Instrument
Total long-term debt					298.0		$ 298.0								298.0
Interest rate, stated percentage							6.375%	6.375%														6.375%
Fair values of fixed rate debt obligations
Principal Amount							$ 300.0
Indicated Market Price (in dollars per share) \| $ / shares							$ 99.60
Fair Value							$ 299.0
Senior Notes, 5.375% due 2025
Debt Instrument
Total long-term debt	$ 17.0				299.0		$ 17.0			$ 282.8		$ 300.0			299.0
Interest rate, stated percentage	5.375%						5.375%	5.375%	5.375%	5.375%	5.375%	5.375%										5.375%
Fair values of fixed rate debt obligations
Principal Amount							$ 17.0
Indicated Market Price (in dollars per share) \| $ / shares							$ 99.15
Fair Value							$ 17.0
Senior Notes 2.875%, due 2025 (500 million EUR)
Debt Instrument
Total long-term debt					487.0		$ 527.0	€ 500.0							529.0	€ 500.0	€ 500.0
Interest rate, stated percentage							2.875%	2.875%
Fair values of fixed rate debt obligations
Principal Amount							$ 529.0
Indicated Market Price (in dollars per share) \| $ / shares							$ 97.52
Fair Value							$ 516.0
Senior Notes 6.625%, due 2027
Debt Instrument
Total long-term debt					606.0		$ 608.0	€ 600.0							607.0
Interest rate, stated percentage							6.625%	6.625%												6.625%	6.625%	6.625%
Debt repurchased amount																					$ 88.2
Fair values of fixed rate debt obligations
Principal Amount							$ 612.0													$ 611.8
Indicated Market Price (in dollars per share) \| $ / shares							$ 97.86
Fair Value							$ 599.0
Senior Notes 6.250%, due 2028 (600 million EUR)
Debt Instrument
Total long-term debt							$ 627.0	€ 600.0
Interest rate, stated percentage	6.25%						6.25%	6.25%	6.25%
Net proceeds, after deducting debt issuance costs \| €		€ 593.0
Face value \| €									€ 600.0
Fair values of fixed rate debt obligations
Principal Amount							$ 635.0
Indicated Market Price (in dollars per share) \| $ / shares							$ 102.11
Fair Value							$ 648.0
Senior Notes 4.750%, due 2030
Debt Instrument
Total long-term debt					396.0		$ 396.0								396.0
Interest rate, stated percentage							4.75%	4.75%
Fair values of fixed rate debt obligations
Principal Amount							$ 400.0
Indicated Market Price (in dollars per share) \| $ / shares							$ 87.28
Fair Value							$ 349.0
Senior Notes 7.250% due 2031
Debt Instrument
Total long-term debt							$ 681.0
Interest rate, stated percentage	7.25%						7.25%	7.25%	7.25%
Net proceeds, after deducting debt issuance costs	$ 682.0
Face value	$ 690.0
Fair values of fixed rate debt obligations
Principal Amount							$ 690.0
Indicated Market Price (in dollars per share) \| $ / shares							$ 97.95
Fair Value							$ 676.0
Finance leases
Debt Instrument
Total long-term debt					103.0		164.0								132.0
Other debt
Debt Instrument
Total long-term debt					$ 4.0		2.0								$ 4.0
Revolving Credit Facility
Debt Instrument
Maximum Borrowing Capacity							300.0
Delayed draw term loan facility
Debt Instrument
Maximum Borrowing Capacity																			600.0
Term loans in aggregate
Debt Instrument
Maximum Borrowing Capacity																			$ 500.0
Multicurrency Revolving Credit Facility
Debt Instrument
Maximum Borrowing Capacity							$ 950.0