Postretirement Plans - Additional Information (Detail) - USD ($)	3 Months Ended		12 Months Ended
	Jan. 01, 2022	Oct. 09, 2021	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021	Jul. 19, 2022
Pension and Other Postretirement Benefits Disclosure [Line Items]
Cash contributions					$ 0
Non-cash settlement and curtailment charge					108,800,000
Settlement loss	$ 400,000
Expected pension cost for fiscal 2022			$ 700,000
Postretirement Benefits, minimum years of service for eligibility			10 years
Postretirement Benefits, minimum age for eligibility			60 years
Expected company contribution			$ 471,000
Expense under plans			$ 629,000	$ 1,306,000	$ 109,823,000
Contribution of pension fund in excess of total contribution			5.00%	5.00%	5.00%
Multiemployer plans, minimum contribution			$ 0
Multi-employer pension plan withdrawal liability	2,100,000	$ 2,100,000	$ 1,297,000	$ 2,100,000		$ 1,300,000
Multiemployer plan withdrawal liability of net present value monthly payments period		20 years
Multiemployer plans transition payments payable		$ 1,200,000
Multiemployer plan withdrawal liability estimate payment period		3 years
Minimum
Pension and Other Postretirement Benefits Disclosure [Line Items]
Retiree medical coverage provided			3 years
Maximum
Pension and Other Postretirement Benefits Disclosure [Line Items]
Retiree medical coverage provided			5 years
Pension plans
Pension and Other Postretirement Benefits Disclosure [Line Items]
Settlement loss				(403,000)	$ (104,473,000)
Actual (loss) return on plan assets			$ (4,330,000)	$ 1,929,000	$ 51,800,000
Expected long-term rate of return and average annual return on plan assets			5.90%	5.70%	4.97%
Contribution of company to company pension plans			$ 1,271,000	$ 271,000	$ 7,871,000
Last Fifteen Years
Pension and Other Postretirement Benefits Disclosure [Line Items]
Expected long-term rate of return and average annual return on plan assets			4.90%
Non Qualified Pension Plans
Pension and Other Postretirement Benefits Disclosure [Line Items]
Expected company contribution	300,000			300,000
Plan No. 2
Pension and Other Postretirement Benefits Disclosure [Line Items]
Voluntarily contributions made by an employer			$ 1,000,000.0		7,600,000
Expected long-term rate of return and average annual return on plan assets			5.90%
Postretirement Benefit Plans
Pension and Other Postretirement Benefits Disclosure [Line Items]
Contribution of company to company pension plans			$ 736,000	931,000
Expected company contribution			500,000
Contributions by participants			392,000	453,000	600,000
Multiemployer Plans
Pension and Other Postretirement Benefits Disclosure [Line Items]
Expense under plans			$ 700,000	1,000,000.0	1,200,000
Red Zone
Pension and Other Postretirement Benefits Disclosure [Line Items]
Percentage of funded under multi employer plans			Less than 65 percent
Yellow Zone
Pension and Other Postretirement Benefits Disclosure [Line Items]
Percentage of funded under multi employer plans			Between 65 and less than 80 percent
Green Zone
Pension and Other Postretirement Benefits Disclosure [Line Items]
Percentage of funded under multi employer plans			At least 80 percent
Plan No. 1
Pension and Other Postretirement Benefits Disclosure [Line Items]
Voluntarily contributions made by an employer				0
Required | Pension plans
Pension and Other Postretirement Benefits Disclosure [Line Items]
Contribution of company to company pension plans			$ 271,000	271,000	271,000
Required | Non Qualified Pension Plans
Pension and Other Postretirement Benefits Disclosure [Line Items]
Contribution of company to company pension plans			300,000
Required | Plan No. 2
Pension and Other Postretirement Benefits Disclosure [Line Items]
Expected company contribution	$ 0			$ 0
Discretionary
Pension and Other Postretirement Benefits Disclosure [Line Items]
Contribution of company to company pension plans			1,000,000.0
Discretionary | Pension plans
Pension and Other Postretirement Benefits Disclosure [Line Items]
Contribution of company to company pension plans			$ 1,000,000		$ 7,600,000