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Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($)
$ in Millions
Dec. 31, 2022
Jan. 01, 2022
Net definite-lived intangible assets    
Gross $ 288.8 $ 320.7
Accumulated Amortization 170.4 173.0
Net 118.4 147.6
Amortization expense    
2023 25.7  
2024 22.5  
2025 20.2  
2026 16.8  
2027 11.6  
Software    
Net definite-lived intangible assets    
Gross 194.4 196.8
Accumulated Amortization 122.5 102.1
Net 71.9 94.7
Trademarks and trade names    
Net definite-lived intangible assets    
Gross 14.3 14.3
Accumulated Amortization 5.9 4.6
Net 8.4 9.7
Customer lists and other    
Net definite-lived intangible assets    
Gross 80.2 109.6
Accumulated Amortization 42.1 66.4
Net $ 38.1 $ 43.3