Acquisitions and Purchase Accounting Acquisition and Purchase Accounting - Cooking Solutions Group (Details) - USD ($) $ in Thousands		12 Months Ended
	Apr. 01, 2019	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
Business Acquisition [Line Items]
Payments to Acquire Businesses, Net of Cash Acquired		$ 79,003	$ 281,058	$ 1,197,984
Goodwill		1,934,261	1,849,747	1,743,175
Standex
Business Acquisition [Line Items]
Payments to Acquire Businesses, Net of Cash Acquired	$ 106,100
Business Combination, Provisional Information Adjustment, Working Capital	100
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents	843
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	32,041
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	15,901
Goodwill	37,537
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	47,600
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	1,470
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	16,713
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	10,529
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	(1,163)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net	106,987
Business Combination Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Assets	1,100
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities	11,600
Standex | Previously Reported
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents	843
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets	33,666
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	15,959
Goodwill	31,207
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	53,450
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	0
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	15,130
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	13,082
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	0
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net	106,913
Standex | 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	(1,625)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment	(58)
Goodwill	6,330
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	(5,850)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets	1,470
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities	1,583
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	(2,553)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other	(1,163)
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net	74
Commercial Foodservice Equipment Group
Business Acquisition [Line Items]
Goodwill		$ 1,228,436	$ 1,153,552	$ 1,102,067
Commercial Foodservice Equipment Group | Trade Names | Standex
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	24,700
Customer Relationships | Commercial Foodservice Equipment Group | Standex
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 22,500
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	9 years
Backlog | Commercial Foodservice Equipment Group | Standex
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 400
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	3 months