Debt (Details) $ / shares in Units, € in Millions, $ in Millions	1 Months Ended				3 Months Ended			12 Months Ended
	Aug. 31, 2023 USD ($)	May 31, 2023 USD ($)	May 31, 2023 EUR (€)	Aug. 31, 2022 USD ($)	Jun. 30, 2023 USD ($)	Sep. 30, 2022 USD ($)	Mar. 31, 2022 USD ($)	Dec. 31, 2023 USD ($) agreement $ / shares	Dec. 31, 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 (€)	Aug. 30, 2022 USD ($)	Jul. 18, 2022 USD ($)	Mar. 25, 2022 USD ($)	Mar. 01, 2022 USD ($)	Feb. 28, 2022 USD ($)	Feb. 10, 2022 USD ($)
Debt Instrument
Total long-term debt								$ 4,840.0								$ 4,671.0
Less amounts due within one year								142.0								300.0
Long-term debt								$ 4,698.0								4,371.0
Additional interest charges for note repurchase premiums and write-off of unamortized finance fees					$ 39.0
Original Agreement
Debt Instrument
Maximum Borrowing Capacity																				$ 2,800.0
Additional interest charges for related party fees							$ 2.0
First amendment to Original Agreement
Debt Instrument
Additional interest charges for note repurchase premiums and write-off of unamortized finance fees						$ 1.0
Maximum Borrowing Capacity																		$ 500.0
Paddock
Debt Instrument
Face value																			$ 8.5
Secured Credit Agreement
Debt Instrument
Number of financial maintenance covenants | agreement								1
Additional default interest rate per annum applied to all obligations owed under the Agreement								2.00%
Weighted average interest rate (as a percent)								6.71%	6.71%
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
Unused Credit								$ 1,240.0
Term Loan A
Debt Instrument
Total long-term debt								1,391.0								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											$ 142.0					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%
Debt repurchased amount																						$ 150.0	$ 250.0
Debt redeemed	$ 108.0			$ 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										$ 250.0							$ 550.0
Senior Notes 3.125%, due 2024 (58 million EUR at December 31, 2023 and 725 million EUR at December 31, 2022)
Debt Instrument
Total long-term debt								$ 63.0	€ 58.0	€ 58.0		€ 666.7				731.0	€ 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								$ 64.0							€ 725.0
Indicated Market Price (in dollars per share) | $ / shares								$ 99.75
Fair Value								$ 64.0
Senior Notes 6.375%, due 2025
Debt Instrument
Total long-term debt								$ 299.0								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								$ 100.89
Fair Value								$ 303.0
Senior Notes, 5.375% due 2025
Debt Instrument
Total long-term debt		$ 17.0						$ 17.0			$ 282.8					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					$ 300.0
Indicated Market Price (in dollars per share) | $ / shares								$ 100.39
Fair Value								$ 17.0
Senior Notes 2.875%, due 2025 (500 million EUR)
Debt Instrument
Total long-term debt								$ 551.0	€ 500.0							529.0	500.0
Interest rate, stated percentage								2.875%	2.875%
Fair values of fixed rate debt obligations
Principal Amount								$ 553.0
Indicated Market Price (in dollars per share) | $ / shares								$ 99.12
Fair Value								$ 548.0
Senior Notes 6.625%, due 2027
Debt Instrument
Total long-term debt								$ 608.0								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								$ 100.59
Fair Value								$ 616.0
Senior Notes 6.250%, due 2028 (600 million EUR)
Debt Instrument
Total long-term debt								$ 656.0	€ 600.0								€ 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								$ 664.0
Indicated Market Price (in dollars per share) | $ / shares								$ 104.99
Fair Value								$ 697.0
Senior Notes 4.750%, due 2030
Debt Instrument
Total long-term debt								$ 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								$ 94.42
Fair Value								$ 378.0
Senior Notes 7.250% due 2031
Debt Instrument
Total long-term debt								$ 682.0
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								$ 101.88
Fair Value								$ 703.0
Finance leases
Debt Instrument
Total long-term debt								174.0								132.0
Other debt
Debt Instrument
Total long-term debt								3.0								$ 4.0
Revolving Credit Facility
Debt Instrument
Maximum Borrowing Capacity								300.0
Delayed draw term loan facility
Debt Instrument
Maximum Borrowing Capacity																				$ 600.0
Multicurrency Revolving Credit Facility
Debt Instrument
Maximum Borrowing Capacity								$ 950.0