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Intangible Assets, Net - Narrative (Details) - USD ($)
 3 Months Ended 12 Months Ended
Dec. 28, 2024
Dec. 30, 2023
Sep. 30, 2023
Dec. 28, 2024
Dec. 30, 2023
Dec. 31, 2022
Finite-Lived Intangible Assets [Line Items]            
Amortization expense $ 177,200,000 $ 132,400,000   $ 177,200,000 $ 132,400,000  
Unamortized capitalized software development costs 1,400,000 11,900,000   1,400,000 11,900,000 $ 0
Cost of patents, gross 13,000,000.0 12,100,000   13,000,000.0 12,100,000  
Cost of trademarks, gross 800,000 1,000,000.0   800,000 1,000,000.0  
Impairment of goodwill       294,000,000.0    
Non-healthcare            
Finite-Lived Intangible Assets [Line Items]            
Impairment of goodwill 294,000,000     294,000,000.0    
Trademarks            
Finite-Lived Intangible Assets [Line Items]            
Impairment charge   3,000,000 $ 7,000,000 $ 10,000,000.0 10,000,000.0  
Trademarks | Non-healthcare            
Finite-Lived Intangible Assets [Line Items]            
Impairment charge 10,000,000          
Minimum            
Finite-Lived Intangible Assets [Line Items]            
Acquired finite-lived intangible assets, weighted average useful life       12 years    
Maximum            
Finite-Lived Intangible Assets [Line Items]            
Acquired finite-lived intangible assets, weighted average useful life       14 years    
Patents And Trademarks            
Finite-Lived Intangible Assets [Line Items]            
Amortization expense 61,700,000 54,400,000   $ 61,700,000 54,400,000 $ 39,800,000
Total renewal costs capitalized       4,300,000 1,000,000.0  
Patents            
Finite-Lived Intangible Assets [Line Items]            
Amortization expense 17,500,000 15,200,000   $ 17,500,000 15,200,000  
Weighted average number of years until the next renewal       2 years    
Trademarks            
Finite-Lived Intangible Assets [Line Items]            
Amortization expense $ 9,000,000.0 $ 7,400,000   $ 9,000,000.0 $ 7,400,000  
Weighted average number of years until the next renewal       6 years