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Goodwill and Intangible Assets - Finite Lived Intangible Assets (Details) - USD ($)
$ in Millions
 12 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Finite-Lived Intangible Assets [Line Items]    
Less: Accumulated Amortization $ 44.9 $ 28.6
Intangible Assets, Gross Carrying Amount 203.6 150.6
Intangible Assets, Net $ 158.7 122.0
Minimum    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible asset, useful life 5 years  
Maximum    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible asset, useful life 15 years  
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying amount $ 141.1 106.9
Less: Accumulated Amortization 32.9 22.2
Net $ 108.2 84.7
Finite-lived intangible asset, useful life 10 years  
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying amount $ 51.7 35.8
Less: Accumulated Amortization 8.3 4.2
Net $ 43.4 31.6
Trade names | Minimum    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible asset, useful life 10 years  
Trade names | Maximum    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible asset, useful life 15 years  
Non-compete agreements    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying amount $ 6.0 3.1
Less: Accumulated Amortization 2.2 1.2
Net $ 3.8 1.9
Finite-lived intangible asset, useful life 5 years  
Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying amount $ 4.8 4.8
Less: Accumulated Amortization 1.5 1.0
Net $ 3.3 $ 3.8
Finite-lived intangible asset, useful life 10 years