Acquisitions and Purchase Accounting Estimated Fair Values of Assets Acquired and Liabilities Assumed - 2021 Acquisition (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Business Acquisition [Line Items]
Goodwill	$ 2,243,469	$ 1,934,261	$ 1,849,747
Residential Kitchen
Business Acquisition [Line Items]
Goodwill	707,667	450,027	438,516
Commercial Foodservice Equipment Group
Business Acquisition [Line Items]
Goodwill	1,285,087	$ 1,228,436	$ 1,153,552
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	76,300
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	19,489
Goodwill	94,335
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	149,532
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	(33,948)
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	(7,108)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	304,136
Business Combination, Contingent Consideration, Liability	9,404
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	313,540
Business Acquisition, Goodwill, Expected Tax Deductible Amount	92,300
Business Combination, Intangible Assets, Other than Goodwill, Expected Tax Deductible Amount	148,400
2021 Acquisitions | Residential Kitchen
Business Acquisition [Line Items]
Goodwill	30,500
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	89,000
2021 Acquisitions | Commercial Foodservice Equipment Group
Business Acquisition [Line Items]
Goodwill	63,800
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	60,500
2021 Acquisitions | Tradenames And Trademarks
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	97,100
2021 Acquisitions | Customer Relationships
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 41,100
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
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	7 years
2021 Acquisitions | Backlog
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 7,900
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	3,600
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
Business Combination, Contingent Consideration, Liability	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	0
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	223
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	(72)
Goodwill	9,065
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	(9,193)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	31
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	(38)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	0
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	(16)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	0
Business Combination, Contingent Consideration, Liability	0
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	$ 0