Acquisitions and Purchase Accounting Estimated Fair Values of Assets Acquired and Liabilities Assumed - 2021 Acquisition (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Business Acquisition [Line Items]
Goodwill	$ 2,411,834	$ 2,243,469	$ 1,934,261
Accrued contingent consideration	20,529	18,728
Residential Kitchen
Business Acquisition [Line Items]
Goodwill	751,755	707,667	450,027
Commercial Foodservice Equipment Group
Business Acquisition [Line Items]
Goodwill	1,296,494	$ 1,285,087	$ 1,228,436
2021 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents	6,369
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	76,554
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	19,309
Goodwill	116,238
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	127,159
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	2,132
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	(33,857)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	447
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	(10,489)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	(303,862)
Accrued contingent consideration	9,204
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	313,066
Business Acquisition, Goodwill, Expected Tax Deductible Amount	114,200
Business Combination, Intangible Assets, Other than Goodwill, Expected Tax Deductible Amount	126,000
2021 Acquisitions | Residential Kitchen
Business Acquisition [Line Items]
Goodwill	51,200
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	66,600
2021 Acquisitions | Commercial Foodservice Equipment Group
Business Acquisition [Line Items]
Goodwill	65,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	60,600
2021 Acquisitions | Tradenames And Trademarks
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	84,600
2021 Acquisitions | Customer Relationships
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 35,400
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	7 years
2021 Acquisitions | Developed Technology Rights
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 3,400
2021 Acquisitions | Developed Technology Rights | Minimum
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	7 years
2021 Acquisitions | Developed Technology Rights | Maximum
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	10 years
2021 Acquisitions | Backlog
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 3,800
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	3 months
2021 Acquisitions | Tax loss carryforwards
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	$ (600)
2021 Acquisitions | Book and tax difference, identifiable intangible assets
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	200
Previously Reported | 2021 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents	6,414
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	76,077
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	19,561
Goodwill	85,270
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	158,725
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	2,101
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	(33,910)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	(3,010)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	(7,092)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	(304,136)
Accrued contingent consideration	9,404
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	313,540
Measurement period adjustment | 2021 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents	(45)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	477
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	(252)
Goodwill	30,968
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	(31,566)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	31
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	53
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	3,457
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	(3,397)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	274
Accrued contingent consideration	(200)
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	$ (474)