Acquisitions and Purchase Accounting Acquisition and Purchase Accounting - Other 2019 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
2019 acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents	2,673
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	22,445
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	8,754
Goodwill	88,721
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	75,382
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	991
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	(20,785)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	(10,299)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	170,598
Business Combination, Deferred Payments, Liability	2,404
Business Combination, Contingent Consideration, Liability	7,858
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	180,860
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities	1,000
Business Combination Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Assets	2,716
Business Acquisition, Goodwill, Expected Tax Deductible Amount	77,900
Business Combination, Intangible Assets, Other than Goodwill, Expected Tax Deductible Amount	64,800
Deferred Tax Assets, Tax Deferred Expense, Other	800
Business Combinations, Deferred Tax Assets, Operating Loss Carryforwards	2,900
2019 acquisitions | Previously Reported
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents	2,683
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	21,525
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	8,920
Goodwill	99,838
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	64,019
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	137
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	(20,437)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	(6,170)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	171,803
Business Combination, Deferred Payments, Liability	2,404
Business Combination, Contingent Consideration, Liability	4,258
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	178,465
Business Combination Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Assets	1,288
2019 acquisitions | Measurement period adjustment
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents	(10)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	920
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	(166)
Goodwill	(11,117)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	11,363
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	854
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	(348)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	(4,129)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	(1,205)
Business Combination, Deferred Payments, Liability	0
Business Combination, Contingent Consideration, Liability	3,600
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	2,395
Business Combination Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Assets	1,428
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, 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
Business Acquisition, Goodwill, Expected Tax Deductible Amount	20,000
Business Combination, Intangible Assets, Other than Goodwill, Expected Tax Deductible Amount	63,200
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, 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	(13,674)
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, Noncurrent Liabilities, Other	0
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	0
Business Combination, Deferred Payments, Liability	0
Business Combination, Contingent Consideration, Liability	0
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	0
Customer Relationships | 2019 acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	27,900
Customer Relationships | 2020 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	14,000
Developed Technology Rights | 2019 acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	12,300
Developed Technology Rights | 2020 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	20,700
Backlog | 2019 acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	1,400
Backlog | 2020 Acquisitions
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
Tradenames And Trademarks | 2019 acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 33,800
Tradenames And Trademarks | 2020 Acquisitions
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	23,100
Commercial Foodservice Equipment Group
Business Acquisition [Line Items]
Goodwill	1,228,436	1,153,552	1,102,067
Commercial Foodservice Equipment Group | 2019 acquisitions
Business Acquisition [Line Items]
Goodwill	42,500
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	35,500
Commercial Foodservice Equipment Group | 2020 Acquisitions
Business Acquisition [Line Items]
Goodwill	56,800
Food Processing Group
Business Acquisition [Line Items]
Goodwill	255,798	257,679	219,054
Food Processing Group | 2019 acquisitions
Business Acquisition [Line Items]
Goodwill	34,900
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	30,100
Residential Kitchen
Business Acquisition [Line Items]
Goodwill	450,027	$ 438,516	$ 422,054
Residential Kitchen | 2019 acquisitions
Business Acquisition [Line Items]
Goodwill	11,300
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 9,800
Maximum | Customer Relationships | 2019 acquisitions
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	10 years
Maximum | Customer Relationships | 2020 Acquisitions
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	7 years
Maximum | Developed Technology Rights | 2019 acquisitions
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	12 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
Minimum | Customer Relationships | 2019 acquisitions
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	5 years
Minimum | Developed Technology Rights | 2019 acquisitions
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	5 years
Minimum | Developed Technology Rights | 2020 Acquisitions
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	7 years
Minimum | Backlog | 2019 acquisitions
Business Acquisition [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	3 months