Definite-lived Intangibles (Detail) - USD ($) $ in Thousands	3 Months Ended	12 Months Ended
	Apr. 03, 2023	Jan. 02, 2023
Finite-Lived Intangible Assets [Line Items]
Gross Amount	$ 514,721	$ 504,471
Accumulated Amortization	(244,206)	(216,434)
Net Carrying Amount	270,515	288,037
Customer Relationships
Finite-Lived Intangible Assets [Line Items]
Gross Amount	422,071	366,071
Accumulated Amortization	(202,833)	(187,560)
Net Carrying Amount	$ 219,238	$ 178,511
Weighted Average Amortization Period	10 years 7 months 6 days	11 years 3 months 18 days
Customer Relationships | Gritel and ISC Farmingdale Corporation
Finite-Lived Intangible Assets [Line Items]
Gross Amount		$ 82,500
Accumulated Amortization		(3,173)
Net Carrying Amount		$ 79,327
Weighted Average Amortization Period		13 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross Amount	$ 77,150	$ 47,650
Accumulated Amortization	(30,685)	(24,876)
Net Carrying Amount	$ 46,465	$ 22,774
Weighted Average Amortization Period	7 years 9 months 18 days	9 years 6 months
Backlog | Gritel and ISC Farmingdale Corporation
Finite-Lived Intangible Assets [Line Items]
Gross Amount	$ 13,000
Accumulated Amortization	(9,750)
Net Carrying Amount	$ 3,250
Weighted Average Amortization Period	1 year
Trade Names | Gritel and ISC Farmingdale Corporation
Finite-Lived Intangible Assets [Line Items]
Gross Amount	$ 2,500	$ 8,250
Accumulated Amortization	(938)	(825)
Net Carrying Amount	$ 1,562	$ 7,425
Weighted Average Amortization Period	2 years	5 years