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Goodwill and Other Intangible Assets - Other Intangible Assets by Major Class (Details) - USD ($)
$ in Millions
Apr. 02, 2022
Jan. 01, 2022
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value $ 490.6 $ 495.0
Non-amortized trademarks 141.2 142.6
Total other intangible assets 631.8 637.6
Accumulated Amortization (336.3) (335.9)
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 216.8 217.8
Accumulated Amortization (144.5) (142.1)
Developed technology    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 36.5 36.6
Accumulated Amortization (24.0) (23.2)
Internally developed software    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 179.2 182.7
Accumulated Amortization (136.0) (139.1)
Patents    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 45.9 45.7
Accumulated Amortization (25.3) (25.1)
Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 3.9 3.9
Accumulated Amortization (2.4) (2.3)
Other    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 8.3 8.3
Accumulated Amortization $ (4.1) $ (4.1)