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Goodwill and Other Intangible Assets - Narrative and Estimated Amortization Expense (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Dec. 27, 2020
Indefinite-lived Intangible Assets [Line Items]      
Weighted-average remaining useful life 2 years 8 months 12 days    
Amortization expense for intangible assets $ 62.5 $ 44.9 $ 38.1
Fiscal year 2023 60.8    
Fiscal year 2024 41.3    
Fiscal year 2025 20.3    
Fiscal year 2026 3.2    
Fiscal year 2027 0.8    
Thereafter 2.8    
Total $ 129.2    
Customer relationships      
Indefinite-lived Intangible Assets [Line Items]      
Weighted-average remaining useful life 3 years 8 months 12 days    
Tradenames      
Indefinite-lived Intangible Assets [Line Items]      
Weighted-average remaining useful life 4 years 6 months    
Computer software & technology      
Indefinite-lived Intangible Assets [Line Items]      
Weighted-average remaining useful life 2 years 3 months 18 days    
Tradenames      
Indefinite-lived Intangible Assets [Line Items]      
Carrying amount of tradenames $ 56.0 $ 56.0