Acquisitions and Purchase Accounting Estimated Fair Value of Assets Acquired and Liabilities Assumed -2022 Acquisiton s (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
Food Processing Group
Business Acquisition [Line Items]
Goodwill	363,585	250,715	255,798
Commercial Foodservice Equipment Group
Business Acquisition [Line Items]
Goodwill	1,296,494	1,285,087	1,228,436
Residential Kitchen
Business Acquisition [Line Items]
Goodwill	751,755	$ 707,667	$ 450,027
2022 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents	26,004
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	112,861
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	45,240
Goodwill	144,627
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	95,259
Business Combination Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Assets	530
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	4,454
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Long-Term Debt	(20,687)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	(57,399)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Long-Term Debt	(7,966)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	(22,500)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	(25,218)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	295,205
Accrued contingent consideration	22,499
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	317,704
Business Acquisition, Goodwill, Expected Tax Deductible Amount	20,800
Business Combination, Intangible Assets, Other than Goodwill, Expected Tax Deductible Amount	11,700
2022 Acquisitions | Food Processing Group
Business Acquisition [Line Items]
Goodwill	112,300
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	59,100
2022 Acquisitions | Commercial Foodservice Equipment Group
Business Acquisition [Line Items]
Goodwill	30,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	35,400
2022 Acquisitions | Residential Kitchen
Business Acquisition [Line Items]
Goodwill	2,300
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	800
2022 Acquisitions | Tradenames And Trademarks
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	42,900
2022 Acquisitions | Customer Relationships
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 38,200
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	7 years
2022 Acquisitions | Developed Technology Rights
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 6,200
2022 Acquisitions | Developed Technology Rights | Minimum
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	5 years
2022 Acquisitions | Developed Technology Rights | Maximum
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	10 years
2022 Acquisitions | Backlog
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 8,000
2022 Acquisitions | Backlog | Minimum
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	3 months
2022 Acquisitions | Backlog | Maximum
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	6 months
2022 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	$ 19,500
2022 Acquisitions | Book and tax difference, identifiable tangible assets and liabilities
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	3,000
Previously Reported | 2022 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents	25,860
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	115,264
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	44,598
Goodwill	139,633
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	93,147
Business Combination Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Assets	426
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	1,420
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Long-Term Debt	(22,841)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	(57,158)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Long-Term Debt	(5,646)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	(23,137)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	(19,061)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	292,505
Accrued contingent consideration	19,105
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	311,610
Measurement period adjustment | 2022 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents	144
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	(2,403)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	642
Goodwill	4,994
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	2,112
Business Combination Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Assets	104
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	3,034
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Long-Term Debt	2,154
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	(241)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Long-Term Debt	(2,320)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	637
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	(6,157)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	2,700
Accrued contingent consideration	3,394
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	$ 6,094