Summary of Significant Accounting Policies - Intangible Assets (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 03, 2026	Dec. 28, 2024	Dec. 30, 2023
Finite-Lived Intangible Assets [Line Items]
Gross Carrying amount	$ 785,295	$ 767,878
Finite-Lived Intangible Assets, Accumulated Amortization	(564,224)	(501,797)
Finite-Lived Intangible Assets, Amortization Expense	55,300	57,200	$ 66,000
Impairments	10,598	$ 10,475	$ 1,986
Commercial Foodservice Equipment Group
Finite-Lived Intangible Assets [Line Items]
Goodwill and Intangible Asset Impairment	10,600
Impairments	1,300
Residential Kitchen
Finite-Lived Intangible Assets [Line Items]
Goodwill and Intangible Asset Impairment	10,600
Impairments	$ 9,300
Customer Lists
Finite-Lived Intangible Assets [Line Items]
Estimated Weighted Avg Remaining LIfe	5 years 4 months 24 days	6 years 1 month 6 days
Gross Carrying amount	$ 690,513	$ 678,717
Finite-Lived Intangible Assets, Accumulated Amortization	$ (507,129)	$ (453,954)
Service Backlog
Finite-Lived Intangible Assets [Line Items]
Estimated Weighted Avg Remaining LIfe	1 month 6 days
Developed Technology Rights
Finite-Lived Intangible Assets [Line Items]
Estimated Weighted Avg Remaining LIfe	6 years 9 months 18 days	7 years 6 months
Gross Carrying amount	$ 91,319	$ 86,969
Finite-Lived Intangible Assets, Accumulated Amortization	(54,027)	$ (47,039)
Backlog
Finite-Lived Intangible Assets [Line Items]
Estimated Weighted Avg Remaining LIfe		3 months 18 days
Gross Carrying amount	3,463	$ 2,192
Finite-Lived Intangible Assets, Accumulated Amortization	(3,068)	(804)
Tradenames And Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	840,121	$ 833,735
Tradenames And Trademarks | Tradenames And Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 23,800