Acquisitions and Purchase Accounting Estimated Fair Value of Assets Acquired and Liabilities Assumed - 2025 Acquisitions (Details) - USD ($) $ in Thousands	6 Months Ended
	Jul. 04, 2026	Jan. 03, 2026
Business Combination [Line Items]
Goodwill	$ 1,794,299	$ 1,799,649
Business Combination, Contingent Consideration, Liability	12,332	26,764
Commercial Foodservice Equipment Group
Business Combination [Line Items]
Goodwill	1,295,018	1,297,332
Food Processing Group
Business Combination [Line Items]
Goodwill	499,281	$ 502,317
2025 Acquisitions [Domain]
Business Combination [Line Items]
Business Combination, Recognized Liability Assumed, Deferred Tax Liability	(2,100)
2025 Acquisitions [Domain] | Book and tax difference, identifiable intangible assets
Business Combination [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	1,300
2025 Acquisitions [Domain] | Book and tax difference, identifiable tangible assets and liabilities
Business Combination [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities, Net	800
2025 Acquisitions
Business Combination [Line Items]
Business Combination, Recognized Asset Acquired, Cash and Cash Equivalent	7,434
Business Combination, Recognized Asset Acquired, Asset, Current	40,392
Business Combination, Recognized Asset Acquired, Property, Plant, and Equipment	6,073
Goodwill	15,331
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	10,263
Business Combination, Recognized Asset Acquired, Other Asset, Noncurrent	5,500
Business Combination, Recognized Liability Assumed, Long-Term Debt, Current	(875)
Business Combination, Recognized Liability Assumed, Liability, Current	(36,863)
Business Combination, Recognized Liability Assumed, Long-Term Debt, Noncurrent	(696)
Business Combination, Recognized Liability Assumed, Deferred Tax Liability	(2,073)
Business Combination, Recognized Liability Assumed, Other Liability, Noncurrent	(10,064)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	34,422
Business Combination, Contingent Consideration, Liability	4,698
Business Combination, Recognized Asset Acquired to Liability Assumed, Excess (Less), and Goodwill	39,120
Business Combination, Goodwill, Expected Tax Deductible, Amount	7,800
Business Combination, Intangible Assets, Other than Goodwill, Expected Tax Deductible Amount	5,500
2025 Acquisitions | Food Processing Group
Business Combination [Line Items]
Goodwill	15,300
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	10,300
2025 Acquisitions | Customer Relationships
Business Combination [Line Items]
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	$ 2,600
2025 Acquisitions | Customer Relationships | Minimum
Business Combination [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	7 years
2025 Acquisitions | Developed Technology Rights
Business Combination [Line Items]
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	$ 1,100
2025 Acquisitions | Developed Technology Rights | Minimum
Business Combination [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	7 years
2025 Acquisitions | Backlog
Business Combination [Line Items]
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	$ 2,000
2025 Acquisitions | Backlog | Minimum
Business Combination [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	6 months
2025 Acquisitions | Tradenames And Trademarks
Business Combination [Line Items]
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	$ 4,600
Initial accounting | 2025 Acquisitions
Business Combination [Line Items]
Business Combination, Recognized Asset Acquired, Cash and Cash Equivalent	7,434
Business Combination, Recognized Asset Acquired, Asset, Current	41,749
Business Combination, Recognized Asset Acquired, Property, Plant, and Equipment	6,073
Goodwill	13,419
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	10,263
Business Combination, Recognized Asset Acquired, Other Asset, Noncurrent	44
Business Combination, Recognized Liability Assumed, Long-Term Debt, Current	(875)
Business Combination, Recognized Liability Assumed, Liability, Current	(36,513)
Business Combination, Recognized Liability Assumed, Long-Term Debt, Noncurrent	(696)
Business Combination, Recognized Liability Assumed, Deferred Tax Liability	(2,304)
Business Combination, Recognized Liability Assumed, Other Liability, Noncurrent	(5,077)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	33,517
Business Combination, Contingent Consideration, Liability	4,698
Business Combination, Recognized Asset Acquired to Liability Assumed, Excess (Less), and Goodwill	38,215
Measurement period adjustment | 2025 Acquisitions
Business Combination [Line Items]
Business Combination, Recognized Asset Acquired, Cash and Cash Equivalent	0
Business Combination, Recognized Asset Acquired, Asset, Current	(1,357)
Business Combination, Recognized Asset Acquired, Property, Plant, and Equipment	0
Goodwill	1,912
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	0
Business Combination, Recognized Asset Acquired, Other Asset, Noncurrent	5,456
Business Combination, Recognized Liability Assumed, Long-Term Debt, Current	0
Business Combination, Recognized Liability Assumed, Liability, Current	(350)
Business Combination, Recognized Liability Assumed, Long-Term Debt, Noncurrent	0
Business Combination, Recognized Liability Assumed, Deferred Tax Liability	231
Business Combination, Recognized Liability Assumed, Other Liability, Noncurrent	(4,987)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	905
Business Combination, Contingent Consideration, Liability	0
Business Combination, Recognized Asset Acquired to Liability Assumed, Excess (Less), and Goodwill	$ 905