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Acquisitions (Narrative) (Details)
$ in Millions, € in Billions
12 Months Ended
Jan. 03, 2025
USD ($)
business
Dec. 29, 2023
USD ($)
business
Dec. 29, 2023
EUR (€)
business
Dec. 30, 2022
USD ($)
business
Business Acquisition [Line Items]        
Number of businesses acquired | business       2
Repayments of long-term debt $ 2,199.4 $ 2,292.9   $ 590.2
Goodwill 4,988.4 5,350.6    
Purchase consideration       379.5
Acquisition related costs $ 9.1 $ 35.0   $ 20.4
Maximum        
Business Acquisition [Line Items]        
Total revenue percentage       1.00%
Series of Individually Immaterial Business Acquisitions        
Business Acquisition [Line Items]        
Number of businesses acquired | business 1 2 2  
Purchase consideration $ 26.3 $ 47.0    
Series of Individually Immaterial Business Acquisitions | Maximum        
Business Acquisition [Line Items]        
Total revenue percentage 1.00% 1.00% 1.00%  
Transporeon        
Business Acquisition [Line Items]        
Purchase consideration   $ 2,100.0 € 1.9  
Repayments of long-term debt   339.6    
Goodwill   1,390.1    
Total intangible assets acquired   939.8    
Intangible assets   9.3    
Deferred tax liabilities   $ 256.6