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Goodwill and Intangible Assets - Additional Information (Detail) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Mar. 31, 2020
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Goodwill And Intangible Assets [Line Items]        
Goodwill   $ 1,524.5 $ 1,564.0 $ 1,596.0
Intangible assets, carrying value   970.4 1,057.2  
Amortization of intangible assets   $ 55.2 $ 70.4 69.8
Weighted average estimated useful life of intangible assets   14 years    
Estimated amortization expense, year 2023   $ 54.0    
Estimated amortization expense, year 2024   53.6    
Estimated amortization expense, year 2025   53.0    
Estimated amortization expense, year 2026   51.8    
Estimated amortization expense, year 2027   51.8    
Estimated amortization expense, thereafter   $ 503.0    
Customer Relationships, Product Technology and Patents [Member] | Minimum [Member]        
Goodwill And Intangible Assets [Line Items]        
Amortization period   4 years    
Customer Relationships, Product Technology and Patents [Member] | Maximum [Member]        
Goodwill And Intangible Assets [Line Items]        
Amortization period   29 years    
Portescap Reporting Unit [Member]        
Goodwill And Intangible Assets [Line Items]        
Goodwill   $ 162.0    
Intangible assets, carrying value   $ 28.0    
Portescap Reporting Unit [Member] | Maximum [Member]        
Goodwill And Intangible Assets [Line Items]        
Reporting unit, percentage of fair value in excess of carrying amount   10.00%    
All Other Reporting Units [Member]        
Goodwill And Intangible Assets [Line Items]        
Reporting unit, percentage of fair value in excess of carrying amount   10.00%    
Jacobs Vehicle Systems [Member]        
Goodwill And Intangible Assets [Line Items]        
Non-cash impairment charges $ 8.4     8.4
Indefinite-lived intangible assets and goodwill Impairment charges $ 139.1     $ 139.1
Stromag Reporting Units [Member]        
Goodwill And Intangible Assets [Line Items]        
Intangible assets, carrying value   $ 19.1    
Stromag Reporting Units [Member] | Maximum [Member]        
Goodwill And Intangible Assets [Line Items]        
Reporting unit, percentage of fair value in excess of carrying amount   10.00%