Acquisitions and Purchase Accounting Estimated Fair Value of Assets Acquired and Liabilities Assumed - 2025 Acquisitions (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 03, 2026	Dec. 28, 2024	Dec. 30, 2023
Business Combination, Pro Forma Information [Line Items]
Goodwill	$ 1,799,649	$ 1,744,246	$ 1,704,273
Business Combination, Contingent Consideration, Liability	26,764	25,748
Food Processing Group
Business Combination, Pro Forma Information [Line Items]
Goodwill	502,317	432,161	397,137
Commercial Foodservice Equipment Group
Business Combination, Pro Forma Information [Line Items]
Goodwill	1,297,332	$ 1,312,085	$ 1,307,136
2023 Acquisitions
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Asset Acquired, Cash and Cash Equivalent	7,877
Business Combination, Recognized Asset Acquired, Asset, Current	40,122
Business Combination, Recognized Asset Acquired, Property, Plant, and Equipment	31,011
Goodwill	63,063
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	32,248
Business Combination, Recognized Asset Acquired, Deferred Tax Asset	105
Business Combination, Recognized Liability Assumed, Liability, Current	(40,759)
Business Combination, Recognized Liability Assumed, Long-Term Debt, Noncurrent	(369)
Business Combination, Recognized Liability Assumed, Deferred Tax Liability	(1,132)
Business Combination, Recognized Liability Assumed, Other Liability, Noncurrent	(11,229)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	121,942
Business Combination, Recognized Liability Assumed, Contingent Liability	76
Business Combination, Contingent Consideration, Liability	8,681
Business Combination, Recognized Asset Acquired to Liability Assumed, Excess (Less), and Goodwill	130,699
Business Combination, Goodwill, Expected Tax Deductible, Amount	53,300
Business Combination, Intangible Assets, Other than Goodwill, Expected Tax Deductible Amount	28,000
Business Combination, Recognized Asset Acquired, Other Asset, Noncurrent	1,295
Business Combination, Recognized Liability Assumed, Long-Term Debt, Current	(290)
2023 Acquisitions | Food Processing Group
Business Combination, Pro Forma Information [Line Items]
Goodwill	49,900
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	24,000
2023 Acquisitions | Commercial Foodservice Equipment Group
Business Combination, Pro Forma Information [Line Items]
Goodwill	13,200
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	8,200
2023 Acquisitions | Customer Relationships
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	$ 12,100
2023 Acquisitions | Customer Relationships | Minimum
Business Combination, Pro Forma Information [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	5 years
2023 Acquisitions | Customer Relationships | Maximum
Business Combination, Pro Forma Information [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	7 years
2023 Acquisitions | Developed Technology Rights
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	$ 1,100
2023 Acquisitions | Developed Technology Rights | Minimum
Business Combination, Pro Forma Information [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	7 years
2023 Acquisitions | Backlog
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	$ 2,300
2023 Acquisitions | Backlog | Minimum
Business Combination, Pro Forma Information [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	3 months
2023 Acquisitions | Backlog | Maximum
Business Combination, Pro Forma Information [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	9 months
2023 Acquisitions | Tradenames And Trademarks
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	$ 16,700
2025 Acquisitions
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Asset Acquired, Cash and Cash Equivalent	7,434
Business Combination, Recognized Asset Acquired, Asset, Current	41,596
Business Combination, Recognized Asset Acquired, Property, Plant, and Equipment	6,073
Goodwill	13,312
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	10,263
Business Combination, Recognized Liability Assumed, Liability, Current	(36,709)
Business Combination, Recognized Liability Assumed, Long-Term Debt, Noncurrent	(696)
Business Combination, Recognized Liability Assumed, Deferred Tax Liability	(2,317)
Business Combination, Recognized Liability Assumed, Other Liability, Noncurrent	(10,064)
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
Business Combination, Goodwill, Expected Tax Deductible, Amount	7,600
Business Combination, Intangible Assets, Other than Goodwill, Expected Tax Deductible Amount	5,500
Business Combination, Recognized Asset Acquired, Other Asset, Noncurrent	5,500
Business Combination, Recognized Liability Assumed, Long-Term Debt, Current	(875)
2025 Acquisitions | Food Processing Group
Business Combination, Pro Forma Information [Line Items]
Goodwill	13,300
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	$ 10,300
2025 Acquisitions | Customer Relationships | Minimum
Business Combination, Pro Forma Information [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	7 years
2025 Acquisitions | Developed Technology Rights
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	$ 2,600
2025 Acquisitions | Backlog
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	$ 2,000
2025 Acquisitions | Backlog | Minimum
Business Combination, Pro Forma Information [Line Items]
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life	6 months
2025 Acquisitions | Tradenames And Trademarks
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	$ 4,600
Previously Reported | 2023 Acquisitions
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Asset Acquired, Cash and Cash Equivalent	7,868
Business Combination, Recognized Asset Acquired, Asset, Current	41,836
Business Combination, Recognized Asset Acquired, Property, Plant, and Equipment	31,515
Goodwill	61,046
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	32,248
Business Combination, Recognized Asset Acquired, Deferred Tax Asset	9
Business Combination, Recognized Liability Assumed, Liability, Current	(42,304)
Business Combination, Recognized Liability Assumed, Long-Term Debt, Noncurrent	(369)
Business Combination, Recognized Liability Assumed, Deferred Tax Liability	(1,132)
Business Combination, Recognized Liability Assumed, Other Liability, Noncurrent	(10,763)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	119,930
Business Combination, Recognized Liability Assumed, Contingent Liability	0
Business Combination, Contingent Consideration, Liability	8,681
Business Combination, Recognized Asset Acquired to Liability Assumed, Excess (Less), and Goodwill	128,611
Business Combination, Recognized Asset Acquired, Other Asset, Noncurrent	266
Business Combination, Recognized Liability Assumed, Long-Term Debt, Current	(290)
Previously Reported | 2025 Acquisitions
Business Combination, Pro Forma Information [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 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
Business Combination, Recognized Asset Acquired, Other Asset, Noncurrent	44
Business Combination, Recognized Liability Assumed, Long-Term Debt, Current	(875)
Measurement period adjustment | 2023 Acquisitions
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Asset Acquired, Cash and Cash Equivalent	9
Business Combination, Recognized Asset Acquired, Asset, Current	(1,714)
Business Combination, Recognized Asset Acquired, Property, Plant, and Equipment	(504)
Goodwill	2,017
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	0
Business Combination, Recognized Asset Acquired, Deferred Tax Asset	96
Business Combination, Recognized Liability Assumed, Liability, Current	1,545
Business Combination, Recognized Liability Assumed, Long-Term Debt, Noncurrent	0
Business Combination, Recognized Liability Assumed, Deferred Tax Liability	0
Business Combination, Recognized Liability Assumed, Other Liability, Noncurrent	(466)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	2,012
Business Combination, Recognized Liability Assumed, Contingent Liability	76
Business Combination, Contingent Consideration, Liability	0
Business Combination, Recognized Asset Acquired to Liability Assumed, Excess (Less), and Goodwill	2,088
Business Combination, Recognized Asset Acquired, Other Asset, Noncurrent	1,029
Business Combination, Recognized Liability Assumed, Long-Term Debt, Current	0
Measurement period adjustment | 2025 Acquisitions
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Asset Acquired, Cash and Cash Equivalent	0
Business Combination, Recognized Asset Acquired, Asset, Current	(153)
Business Combination, Recognized Asset Acquired, Property, Plant, and Equipment	0
Goodwill	(107)
Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill	0
Business Combination, Recognized Liability Assumed, Liability, Current	(196)
Business Combination, Recognized Liability Assumed, Long-Term Debt, Noncurrent	0
Business Combination, Recognized Liability Assumed, Deferred Tax Liability	(13)
Business Combination, Recognized Liability Assumed, Other Liability, Noncurrent	(4,987)
Business Combination Recognized Identifiable Assets Acquired Goodwill And Liabilities Assumed Initial Consideration, Net	0
Business Combination, Contingent Consideration, Liability	0
Business Combination, Recognized Asset Acquired to Liability Assumed, Excess (Less), and Goodwill	0
Business Combination, Recognized Asset Acquired, Other Asset, Noncurrent	5,456
Business Combination, Recognized Liability Assumed, Long-Term Debt, Current	0
2025 Acquisitions
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Liability Assumed, Deferred Tax Liability	(2,300)
2025 Acquisitions | Book and tax difference, identifiable intangible assets
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Liability Assumed, Deferred Tax Liability	(1,300)
2025 Acquisitions | Book and tax difference, identifiable tangible assets and liabilities
Business Combination, Pro Forma Information [Line Items]
Business Combination, Recognized Liability Assumed, Deferred Tax Liability	$ (1,000)