Acquisitions and Purchase Accounting - Other 2020 Acquisitions (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
Business Acquisition [Line Items]
Goodwill	$ 1,934,261	$ 1,849,747	$ 1,743,175
Commercial Foodservice Equipment Group
Business Acquisition [Line Items]
Goodwill	1,228,436	$ 1,153,552	$ 1,102,067
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	29,996
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	2,773
Goodwill	56,773
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	(42,001)
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, Contingent Consideration, Liability	16,144
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	134,295
Business Combination, Intangible Assets, Other than Goodwill, Expected Tax Deductible Amount	63,200
Business Acquisition, Goodwill, Expected Tax Deductible Amount	20,000
Business Combination, Deferred Payments, Liability	8,666
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, Contingent Consideration, Liability	16,144
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	134,295
Business Combination, Deferred Payments, Liability	8,666
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	(13,674)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	(241)
Goodwill	1,438
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	0
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	0
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	12,477
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	0
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
Business Combination, Deferred Payments, Liability	0
2020 Acquisitions | Commercial Foodservice Equipment Group
Business Acquisition [Line Items]
Goodwill	56,800
2020 Acquisitions | Tradenames And Trademarks
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	23,100
2020 Acquisitions | Customer Relationships
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 14,000
2020 Acquisitions | Customer Relationships | Maximum
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	7 years
2020 Acquisitions | Developed Technology Rights
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 20,700
2020 Acquisitions | Developed Technology Rights | Maximum
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	12 years
2020 Acquisitions | Developed Technology Rights | Minimum
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	7 years
2020 Acquisitions | Backlog
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 5,400
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	3 months
2020 Acquisitions | Backlog | Maximum
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	9 months