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Defined contribution and defined benefit retirement - Schedule of Funded Status (Detail) - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Amounts recognized in the Consolidated Balance Sheets:      
Pension asset $ 8.1 $ 9.3  
Noncurrent (151.6) (131.6)  
Pension Plans Defined Benefit [Member]      
Change in plan assets:      
Fair value at beginning of the year 429.6    
Fair value at end of the year 462.9 429.6  
Pension Plans Defined Benefit [Member] | United States      
Change in benefit obligation:      
Balance at beginning of the year 43.4 58.0  
Interest cost 2.2 1.4 $ 1.3
Actuarial losses (gains) 1.2 (11.8)  
Benefits paid (4.1) (4.2)  
Balance at end of the year 42.7 43.4 58.0
Change in plan assets:      
Fair value at beginning of the year 39.1 52.4  
Actual return on plan assets 3.7 (10.7)  
Employer contributions 1.6 1.6  
Benefits paid (4.1) (4.2)  
Fair value at end of the year 40.3 39.1 52.4
Funded status (2.4) (4.3)  
Amounts recognized in the Consolidated Balance Sheets:      
Current   (0.1)  
Noncurrent (2.4) (4.2)  
Total recognized in balance sheet (2.4) (4.3)  
Accumulated other comprehensive (income) loss:      
Accumulated other comprehensive loss Actuarial losses 30.3 32.2  
Total amount recognized in balance sheet and AOCI 27.9 27.9  
Accumulated benefit obligations ("ABO") $ 42.7 $ 43.4  
Defined Benefit Plan, Funding Status [Extensible List] us-gaap:FundedPlanMember us-gaap:FundedPlanMember  
Pension Plans Defined Benefit [Member] | Non U.S.      
Change in benefit obligation:      
Balance at beginning of the year $ 508.6 $ 758.1  
Service cost 6.3 11.3 14.7
Interest cost 19.8 10.6 8.3
Participants' contributions 1.8 1.7  
Actuarial losses (gains) 44.3 (198.6)  
Settlements (8.6) (1.4)  
Change in currency exchange rates 14.1 (51.2)  
Benefits paid (22.6) (21.9)  
Balance at end of the year 563.7 508.6 758.1
Change in plan assets:      
Fair value at beginning of the year 390.5 481.5  
Actual return on plan assets 37.4 (52.5)  
Employer contributions 14.7 15.0  
Participants' contributions 1.8 1.7  
Settlements (8.6) (1.2)  
Change in currency exchange rates 9.4 (32.1)  
Benefits paid (22.6) (21.9)  
Fair value at end of the year 422.6 390.5 $ 481.5
Funded status (141.1) (118.1)  
Amounts recognized in the Consolidated Balance Sheets:      
Pension asset 8.1 9.3  
Noncurrent (149.2) (127.4)  
Total recognized in balance sheet (141.1) (118.1)  
Accumulated other comprehensive (income) loss:      
Accumulated other comprehensive loss Actuarial losses 106.8 90.0  
Accumulated other comprehensive (income) loss - Prior service credit 0.3 0.4  
Accumulated other comprehensive loss, Total 107.1 90.4  
Total amount recognized in balance sheet and AOCI (34.0) (27.7)  
Accumulated benefit obligations ("ABO") $ 549.8 $ 493.9  
Defined Benefit Plan, Funding Status [Extensible List] us-gaap:FundedPlanMember us-gaap:FundedPlanMember