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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 |

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