Acquisitions and Purchase Accounting Acquisition and Purchase Accounting - Other 2020 Acquisitions (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
2020 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents	14,647
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	30,280
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	2,665
Goodwill	59,182
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	63,826
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	6,173
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	(41,441)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	(264)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	(21,111)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	114,485
Business Combination, Deferred Payments, Liability	8,198
Business Combination, Contingent Consideration, Liability	15,308
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	137,991
Business Combination Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Assets	300
Business Acquisition, Goodwill, Expected Tax Deductible Amount	24,400
Business Combination, Intangible Assets, Other than Goodwill, Expected Tax Deductible Amount	63,500
2020 Acquisitions | Previously Reported
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents	14,647
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	43,670
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	3,014
Goodwill	55,335
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	63,201
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	6,121
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	(54,478)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	123
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	(21,902)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	109,485
Business Combination, Deferred Payments, Liability	8,666
Business Combination, Contingent Consideration, Liability	16,144
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	134,295
2020 Acquisitions | Measurement period adjustment
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	(13,390)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	(349)
Goodwill	3,847
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	625
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	52
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	13,037
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	(387)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	791
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	5,000
Business Combination, Deferred Payments, Liability	(468)
Business Combination, Contingent Consideration, Liability	(836)
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	3,696
Tradenames And Trademarks | 2020 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	15,700
Customer Relationships | 2020 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	10,600
Developed Technology Rights | 2020 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	31,200
Backlog | 2020 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	6,300
Commercial Foodservice Equipment Group
Business Acquisition [Line Items]
Goodwill	1,285,087	$ 1,228,436	$ 1,153,552
Commercial Foodservice Equipment Group | 2020 Acquisitions
Business Acquisition [Line Items]
Goodwill	59,200
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 63,800
Minimum | Customer Relationships | 2020 Acquisitions
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	6 years
Minimum | Developed Technology Rights | 2020 Acquisitions
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	6 years
Minimum | Backlog | 2020 Acquisitions
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	3 months
Maximum | Customer Relationships | 2020 Acquisitions
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	9 years
Maximum | Developed Technology Rights | 2020 Acquisitions
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	12 years
Maximum | Backlog | 2020 Acquisitions
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	9 months