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Retirement Benefit Plans - Changes in Projected Benefit Obligations and Plan Assets (Detail) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
United States      
Pension Plans, Postretirement and Other Employee Benefits [Line Items]      
Projected benefit obligation - beginning of year $ 516.9 $ 472.0  
Service cost 0.9 0.7 $ 7.1
Interest cost 10.5 13.9 16.2
Benefits paid (13.3) (24.0)  
Actuarial loss 3.0 55.6  
Settlement (14.9) (1.3)  
Projected benefit obligation - end of year 503.1 516.9 472.0
Foreign [Member]      
Pension Plans, Postretirement and Other Employee Benefits [Line Items]      
Projected benefit obligation - beginning of year 819.3 740.4  
Service cost 24.7 24.7 19.0
Interest cost 4.9 5.4 9.0
Plan amendments   0.2  
Employee contributions 23.4 22.1  
Benefits paid (41.7) (39.8)  
Actuarial loss 6.1 12.5  
Expenses paid (0.2) (0.3)  
Settlement (3.0) (4.5)  
Translation (gain) loss (25.6) 58.6  
Projected benefit obligation - end of year $ 807.9 $ 819.3 $ 740.4