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Summary of Significant Accounting Policies - Intangible Assets (Details) - USD ($)
$ in Thousands
12 Months Ended
Jan. 02, 2021
Dec. 28, 2019
Dec. 29, 2018
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying amount $ 826,924 $ 779,822  
Finite-Lived Intangible Assets, Accumulated Amortization (403,347) (333,507)  
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill) 11,600    
Indefinite-Lived Intangible Assets, Carrying Value 90,000    
Finite-Lived Intangible Assets, Amortization Expense 69,000 $ 64,000 $ 60,000
Commercial Foodservice Equipment Group      
Finite-Lived Intangible Assets [Line Items]      
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill) 5,300    
Food Processing Group      
Finite-Lived Intangible Assets [Line Items]      
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill) 5,400    
Residential Kitchen      
Finite-Lived Intangible Assets [Line Items]      
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill) $ 900    
Customer Lists      
Finite-Lived Intangible Assets [Line Items]      
Estimated Weighted Avg Remaining LIfe 8 years 6 months 9 years 2 months 12 days  
Gross Carrying amount $ 735,264 $ 717,397  
Finite-Lived Intangible Assets, Accumulated Amortization $ (347,029) $ (283,846)  
Service Backlog      
Finite-Lived Intangible Assets [Line Items]      
Estimated Weighted Avg Remaining LIfe 3 months 18 days 1 year 3 months 18 days  
Gross Carrying amount $ 34,729 $ 29,426  
Finite-Lived Intangible Assets, Accumulated Amortization $ (31,924) $ (28,283)  
Developed Technology Rights      
Finite-Lived Intangible Assets [Line Items]      
Estimated Weighted Avg Remaining LIfe 10 years 5 years 2 months 12 days  
Gross Carrying amount $ 56,931 $ 32,999  
Finite-Lived Intangible Assets, Accumulated Amortization (24,394) (21,378)  
Tradenames And Trademarks      
Finite-Lived Intangible Assets [Line Items]      
Gross carrying amount $ 1,026,804 $ 997,066  
Reporting Unit, Percentage of Fair Value in Excess of Carrying Amount 20.00%