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Goodwill and Other Intangible Assets - Other Intangible Assets by Major Class (Details) - USD ($)
$ in Millions
Jul. 02, 2022
Jan. 01, 2022
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value $ 487.2 $ 495.0
Non-amortized trademarks 135.0 142.6
Total other intangible assets 622.2 637.6
Accumulated Amortization (338.7) (335.9)
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 212.6 217.8
Accumulated Amortization (145.1) (142.1)
Developed technology    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 35.9 36.6
Accumulated Amortization (24.3) (23.2)
Internally developed software    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 180.6 182.7
Accumulated Amortization (138.0) (139.1)
Patents    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 46.4 45.7
Accumulated Amortization (25.0) (25.1)
Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 3.8 3.9
Accumulated Amortization (2.3) (2.3)
Other    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 7.9 8.3
Accumulated Amortization $ (4.0) $ (4.1)