Goodwill and Other Intangible Assets - Schedule of Goodwill and Intangible Assets Net (Detail) - USD ($) $ in Thousands		6 Months Ended
	Oct. 25, 2021	Jul. 02, 2022	Jan. 01, 2022	Jan. 02, 2021
Indefinite-lived Intangible Assets [Line Items]
Less: Accumulated amortization		$ (152,615)		$ (138,691)
Subtotal		166,360		182,384
Other intangible assets, net		374,801	$ 394,525	394,525
Goodwill at January 1, 2022		364,598
Goodwill at April 2, 2022		372,652
Anlin [Member]
Indefinite-lived Intangible Assets [Line Items]
Increase (decrease) in goodwill		789
Final net working capital payment		786
Estimated contingent consideration	$ 6,710
Net decrease in other allocation changes		(821)
Goodwill at April 2, 2022	$ 12,150	12,200
Eco Enterprises, LLC [Member]
Indefinite-lived Intangible Assets [Line Items]
Estimated contingent consideration		1,500
Trade Name [Member]
Indefinite-lived Intangible Assets [Line Items]
Intangible assets		208,441	$ 212,141	212,141
Trade Name [Member] | Anlin [Member]
Indefinite-lived Intangible Assets [Line Items]
Decrease in trade names		(3,700)
Customer Relationships and Customer-related Assets [Member]
Indefinite-lived Intangible Assets [Line Items]
Intangible assets		286,947		289,047
Customer Relationships and Customer-related Assets [Member] | Anlin [Member]
Indefinite-lived Intangible Assets [Line Items]
Increase (decrease) in goodwill		$ 4,300
Customer Relationships and Customer-related Assets [Member] | Minimum [Member]
Indefinite-lived Intangible Assets [Line Items]
Initial Useful Life (in years)		1 year
Customer Relationships and Customer-related Assets [Member] | Maximum [Member]
Indefinite-lived Intangible Assets [Line Items]
Initial Useful Life (in years)		15 years
Customer-related backlog asset [Member] | Anlin [Member]
Indefinite-lived Intangible Assets [Line Items]
Increase (decrease) in goodwill		$ (2,200)
Trade Name [Member]
Indefinite-lived Intangible Assets [Line Items]
Intangible assets		$ 22,200		22,200
Initial Useful Life (in years)		15 years
Trade Name [Member] | Anlin [Member]
Indefinite-lived Intangible Assets [Line Items]
Increase (decrease) in goodwill		$ 3,700
Developed Technology [Member]
Indefinite-lived Intangible Assets [Line Items]
Intangible assets		$ 5,900		5,900
Developed Technology [Member] | Minimum [Member]
Indefinite-lived Intangible Assets [Line Items]
Initial Useful Life (in years)		6 years
Developed Technology [Member] | Maximum [Member]
Indefinite-lived Intangible Assets [Line Items]
Initial Useful Life (in years)		10 years
Noncompete Agreements [Member]
Indefinite-lived Intangible Assets [Line Items]
Intangible assets		$ 3,338		3,338
Noncompete Agreements [Member] | Minimum [Member]
Indefinite-lived Intangible Assets [Line Items]
Initial Useful Life (in years)		2 years
Noncompete Agreements [Member] | Maximum [Member]
Indefinite-lived Intangible Assets [Line Items]
Initial Useful Life (in years)		5 years
Software License [Member]
Indefinite-lived Intangible Assets [Line Items]
Intangible assets		$ 590		$ 590
Initial Useful Life (in years)		2 years