Acquisitions and Purchase Accounting Estimated Fair Values of Assets Acquired and Liabilities Assumed - 2020 Acquisitions (Details) - USD ($) $ in Thousands	6 Months Ended
	Jul. 03, 2021	Jan. 02, 2021
Business Acquisition [Line Items]
Goodwill	$ 1,932,172	$ 1,934,261
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	30,279
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	2,773
Goodwill	59,459
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	58,826
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	(41,438)
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	(21,111)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	109,485
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	132,991
Business Acquisition, Goodwill, Expected Tax Deductible Amount	24,400
Business Combination, Intangible Assets, Other than Goodwill, Expected Tax Deductible Amount	58,500
2020 Acquisitions | Initial accounting
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	(13,391)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	(241)
Goodwill	4,124
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	(4,375)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	52
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	13,040
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	791
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	0
Business Combination, Deferred Payments, Liability	(468)
Business Combination, Contingent Consideration, Liability	(836)
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	(1,304)
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
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	6 years
Developed Technology Rights | 2020 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 26,200
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	6 years
Backlog | 2020 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 6,300
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
Commercial Foodservice Equipment Group
Business Acquisition [Line Items]
Goodwill	$ 1,227,201	$ 1,228,436
Commercial Foodservice Equipment Group | 2020 Acquisitions
Business Acquisition [Line Items]
Goodwill	59,500
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 58,800