Segment Information - Results of Business Segments (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	Jan. 03, 2026	Sep. 27, 2025	Jun. 28, 2025	Mar. 29, 2025	Dec. 28, 2024	Sep. 28, 2024	Jun. 29, 2024	Mar. 30, 2024	Jan. 03, 2026	Dec. 28, 2024	Dec. 30, 2023
Segment Reporting Information [Line Items]
Net sales	$ 866,425	$ 807,355	$ 796,799	$ 730,623	$ 828,838	$ 769,591	$ 798,783	$ 753,027	$ 3,201,202	$ 3,150,239	$ 3,242,090
Cost of Sales									1,949,287	1,898,420	1,958,012
Other Expenses									532,425	459,917	480,293
Income (Loss), Including Portion Attributable to Noncontrolling Interest, before Tax									719,490	791,902	803,785
Depreciation									43,742	39,762	36,781
Amortization expense									61,563	64,351	73,136
Net capital expenditures									70,729	36,690	59,174
Total assets	6,315,166				7,283,151				6,315,166	7,283,151	6,906,691
Assets, Noncurrent, excluding Goodwill and Intangible Assets, Net	711,682				2,109,046				711,682	2,109,046	2,097,348
Other Cost and Expense, Operating									144,599	147,779	151,358
Net interest expense and deferred financing amortization, net									93,828	93,356	121,129
Net Periodic Benefit Cost, Other Than Service Cost & Curtailment									(6,294)	(14,872)	(9,040)
Other Nonoperating Income (Expense)									5,082	(458)	4,258
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest									482,275	566,097	536,080
Provision for income taxes									115,008	145,119	123,076
Income (Loss) from Continuing Operations, Net of Tax, Attributable to Parent	86,086	$ 94,452	$ 101,666	$ 85,063	117,838	$ 107,520	$ 110,327	$ 85,293	367,267	420,978	413,004
Operating Income (Loss)									574,891	644,123	652,427
Commercial Foodservice Equipment Group
Segment Reporting Information [Line Items]
Net sales									2,351,047	2,380,384	2,485,317
Cost of Sales									1,406,926	1,436,836	1,488,685
Other Expenses									317,439	289,093	305,010
Income (Loss), Including Portion Attributable to Noncontrolling Interest, before Tax									626,682	654,455	691,622
Depreciation									28,357	27,794	26,615
Amortization expense									43,557	49,133	56,168
Net capital expenditures									28,476	23,034	37,940
Total assets	3,569,952				3,603,768				3,569,952	3,603,768	3,697,258
Assets, Noncurrent, excluding Goodwill and Intangible Assets, Net	365,990				333,385				365,990	333,385	338,438
Food Processing Group
Segment Reporting Information [Line Items]
Net sales									850,155	769,855	756,773
Cost of Sales									541,281	464,424	468,474
Other Expenses									137,350	108,627	101,014
Income (Loss), Including Portion Attributable to Noncontrolling Interest, before Tax									171,524	196,804	187,285
Depreciation									12,755	10,213	8,659
Amortization expense									11,698	8,091	9,831
Net capital expenditures									41,449	12,822	16,332
Total assets	1,438,433				1,196,649				1,438,433	1,196,649	1,067,968
Assets, Noncurrent, excluding Goodwill and Intangible Assets, Net	189,130				139,798				189,130	139,798	104,837
Corporate Segment and Other Operating Segment
Segment Reporting Information [Line Items]
Net sales									0	0	0
Cost of Sales									1,080	(2,840)	853
Other Expenses									77,636	62,197	74,269
Income (Loss), Including Portion Attributable to Noncontrolling Interest, before Tax									(78,716)	(59,357)	(75,122)
Depreciation									2,630	1,755	1,507
Amortization expense									6,308	7,127	7,137
Net capital expenditures									804	834	4,902
Total assets	1,306,781				2,482,734				1,306,781	2,482,734	2,141,465
Assets, Noncurrent, excluding Goodwill and Intangible Assets, Net	$ 156,562				$ 1,635,863				$ 156,562	$ 1,635,863	$ 1,654,073