Summary of Significant Accounting Policies - Intangible Assets (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Finite-Lived Intangible Assets [Line Items]
Gross Carrying amount	$ 950,484	$ 797,638
Finite-Lived Intangible Assets, Accumulated Amortization	(442,208)	(374,061)
Impairment of Intangible Assets, Indefinite-lived (Excluding Goodwill)		11,600
Finite-Lived Intangible Assets, Amortization Expense	$ 75,800	69,000	$ 64,000
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	7 years 7 months 6 days	8 years 6 months
Gross Carrying amount	$ 863,339	$ 735,264
Finite-Lived Intangible Assets, Accumulated Amortization	$ (411,327)	$ (347,029)
Service Backlog
Finite-Lived Intangible Assets [Line Items]
Estimated Weighted Avg Remaining LIfe	2 months 12 days	3 months 18 days
Gross Carrying amount	$ 13,684	$ 5,443
Finite-Lived Intangible Assets, Accumulated Amortization	$ (929)	$ (2,638)
Developed Technology Rights
Finite-Lived Intangible Assets [Line Items]
Estimated Weighted Avg Remaining LIfe	8 years 10 months 24 days	10 years
Gross Carrying amount	$ 73,461	$ 56,931
Finite-Lived Intangible Assets, Accumulated Amortization	(29,952)	(24,394)
Tradenames And Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 1,367,101	$ 1,026,804