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Goodwill and Other Intangible Assets - Narrative (Detail) - USD ($)
12 Months Ended
Dec. 30, 2023
Dec. 31, 2022
Jan. 01, 2022
Nov. 20, 2023
Nov. 01, 2023
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]          
Goodwill $ 1,097,400,000 $ 1,045,300,000 $ 1,116,500,000    
Goodwill associated with acquisition, purchase accounting adjustment (34,700,000) 33,100,000      
Goodwill and intangible assets, accumulated impairment loss $ 0        
Weighted-average amortization period (in years) 12 years        
Gross carrying value $ 505,200,000 487,500,000      
Aggregate amortization expense 27,100,000 28,700,000 29,200,000    
Estimated annual amortization expense for fiscal period 2024 22,600,000        
Estimated annual amortization expense for fiscal period 2025 16,300,000        
Estimated annual amortization expense for fiscal period 2026 12,300,000        
Estimated annual amortization expense for fiscal period 2027 10,600,000        
Estimated annual amortization expense for fiscal period 2028 $ 9,300,000        
Patents          
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]          
Weighted-average amortization period (in years) 15 years        
Gross carrying value $ 53,000,000.0 48,400,000      
Commercial & Industrial Group          
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]          
Goodwill 346,600,000 302,900,000 325,800,000    
Goodwill associated with acquisition, purchase accounting adjustment (33,000,000.0) 500,000      
Repair Systems  & Information Group          
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]          
Goodwill 738,400,000 730,000,000.0 $ 778,300,000    
Goodwill associated with acquisition, purchase accounting adjustment (1,700,000) 32,600,000      
Mountz          
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]          
Goodwill         $ 33,000,000
Mountz | Commercial & Industrial Group          
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]          
Goodwill 33,000,000        
SAVTEQ          
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]          
Goodwill       $ 1,700,000  
SAVTEQ | Patents          
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]          
Gross carrying value 1,100,000        
SAVTEQ | Repair Systems  & Information Group          
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]          
Goodwill $ 1,700,000        
Dealer-FX          
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]          
Goodwill   118,200,000      
Goodwill associated with acquisition, purchase accounting adjustment   32,600,000      
Secateurs Pradines          
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]          
Goodwill   10,200,000      
Goodwill associated with acquisition, purchase accounting adjustment   $ 500,000