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Intangible Assets, net (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Dec. 31, 2022
Intangible assets subject to amortization:      
Intangible assets subject to amortization, Gross Carrying Amount $ 746.0   $ 745.8
Intangible assets subject to amortization, Accumulated Amortization (503.8)   (491.9)
Intangible assets      
Intangible assets, Gross Carrying Amount 1,511.8   1,511.5
Amortization expense for intangible assets 11.8 $ 12.2  
Changes in intangible assets due to foreign currency translation gains (losses) 0.2 $ 0.4  
Summary of estimated aggregate amortization expense for each of the succeeding five years      
2023 (remaining nine months) 31.8    
2024 40.1    
2025 35.9    
2026 26.4    
2027 25.8    
Thereafter 82.2    
Total 242.2    
Trade names      
Intangible assets not subject to amortization:      
Intangible assets not subject to amortization, Gross Carrying Amount $ 765.8   765.7
Customer lists/relationships      
Intangible assets subject to amortization:      
Weighted average amortizable life in years 14 years 2 months 12 days    
Intangible assets subject to amortization, Gross Carrying Amount $ 713.8   713.6
Intangible assets subject to amortization, Accumulated Amortization $ (490.5)   (479.3)
Backlog of orders      
Intangible assets subject to amortization:      
Weighted average amortizable life in years 7 years 10 months 24 days    
Intangible assets subject to amortization, Gross Carrying Amount $ 22.3   22.3
Intangible assets subject to amortization, Accumulated Amortization $ (3.8)   (3.1)
Other      
Intangible assets subject to amortization:      
Weighted average amortizable life in years 9 years 2 months 12 days    
Intangible assets subject to amortization, Gross Carrying Amount $ 9.9   9.9
Intangible assets subject to amortization, Accumulated Amortization $ (9.5)   $ (9.5)