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Recapitalizations and Financing Arrangements - Additional Information (Detail) $ in Thousands |  |  |  |  |  |  |  | 12 Months Ended |
--- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Jan. 01, 2023 USD ($) | Jan. 02, 2022 USD ($) | Apr. 16, 2021 USD ($) | Nov. 19, 2019 USD ($) | Apr. 24, 2018 USD ($) | Jul. 24, 2017 USD ($) | Oct. 21, 2015 USD ($) | Jan. 01, 2023 USD ($) | Jan. 02, 2022 USD ($) | Jan. 03, 2021 USD ($) | Sep. 16, 2022 USD ($)
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Scheduled principal payments in year 2023 | $ 54,813 |  |  |  |  |  |  | $ 54,813 |  |  |
Scheduled principal payments in year 2024 | 55,527 |  |  |  |  |  |  | 55,527 |  |  |
Scheduled principal payments in year 2025 | 1,178,812 |  |  |  |  |  |  | 1,178,812 |  |  |
Scheduled principal payments in year 2026 | 44,225 |  |  |  |  |  |  | 44,225 |  |  |
Scheduled principal payments in year 2028 | 1,310,446 |  |  |  |  |  |  | 1,310,446 |  |  |
Long-term other assets, Amortization Of financing cost |  |  |  |  |  |  |  | 5,600 | $ 7,500 | $ 5,500 |
Cash paid for financing costs |  |  |  |  |  |  |  | 1,594 | 14,938 | 0 |
Letters of Credit | 42,200 | $ 44,200 |  |  |  |  |  | 42,200 | 44,200 |  |
Interest expense |  |  |  |  |  |  |  | $ 198,254 | 191,806 | 172,166 |
Minimum coverage ratio of debt service to securitized net cash flow |  |  |  |  |  |  |  | 1.75 |  |  |
Proceeds from notes payable | 0 | 0 |  |  |  |  |  |  |  |  |
Minimum [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Leverage ratio of total debt to earnings before interest, tax, depreciation amortization |  |  |  |  |  |  |  | 5.0 |  |  |
Maximum [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Leverage ratio of total debt to earnings before interest, tax, depreciation amortization |  |  |  |  |  |  |  | 5.0 |  |  |
2017 Floating Rate Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Repayment of principal and interest |  |  |  |  |  |  |  | $ 291,000 |  |  |
2017 Five-Year Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Repayment of principal and interest |  |  |  |  |  |  |  | 582,000 |  |  |
2019 Variable Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Principal payments on the Notes |  |  |  |  |  |  |  |  |  | 158,000 |
2021 Variable Funding Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Principal payments on the Notes |  |  |  |  |  |  |  | 120,000 |  |  |
Remaining borrowing capacity | 157,800 | 155,800 |  |  |  |  |  | 157,800 | 155,800 |  |
2022 Variable Funding Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Debt instrument, stated percentage |  |  |  |  |  |  |  |  |  |  | 5.00%
Cash paid for financing costs |  |  |  |  |  |  |  |  | 1,600 |  |
Variable funding notes |  |  |  |  |  |  |  |  |  |  | $ 120,000
Remaining borrowing capacity | $ 120,000 |  |  |  |  |  |  | $ 120,000 |  |  |
2019 Recapitalization [Member] | 2019 Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  |  | $ 675,000 |  |  |  |  |  |  |
Debt instrument, stated percentage | 5.00% |  |  | 3.668% |  |  |  | 5.00% |  |  |
Debt instrument, term |  |  |  | 10 years |  |  |  |  |  |  |
Scheduled principal payments in year 2023 | $ 6,800 |  |  |  |  |  |  | $ 6,800 |  |  |
Scheduled principal payments in year 2024 | 6,800 |  |  |  |  |  |  | 6,800 |  |  |
Scheduled principal payments in year 2025 | 6,800 |  |  |  |  |  |  | 6,800 |  |  |
Scheduled principal payments in year 2026 | 6,800 |  |  |  |  |  |  | 6,800 |  |  |
Scheduled principal payments in year 2028 |  | $ 6,800 |  |  |  |  |  |  | 6,800 |  |
Scheduled principal payments in year 2029 | 615,900 |  |  |  |  |  |  | $ 615,900 |  |  |
Gross proceeds from the issuance of debt |  |  |  | $ 675,000 |  |  |  |  |  |  |
Debt instrument interest rate description |  |  |  |  |  |  |  | Interest on the 2019 Variable Funding Notes was payable at a per year rate equal to LIBOR plus 150 basis points. |  |  |
Variable funding notes | $ 200,000 |  |  | $ 200,000 |  |  |  | $ 200,000 |  |  |
2019 Recapitalization [Member] | 2018 Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Debt instrument, stated percentage | 5.00% |  |  |  |  |  |  | 5.00% |  |  |
2018 Recapitalization [Member] | 2018 Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  |  |  | $ 425,000 |  |  |  |  |  |
Debt instrument, stated percentage |  |  |  |  | 4.116% |  |  |  |  |  |
Debt instrument, term |  |  |  |  | 7 years 6 months |  |  | 7 years 6 months |  |  |
Scheduled principal payments in year 2023 | $ 8,300 |  |  |  |  |  |  | $ 8,300 |  |  |
Scheduled principal payments in year 2024 | 8,300 |  |  |  |  |  |  | 8,300 |  |  |
Scheduled principal payments in year 2025 | 403,500 |  |  |  |  |  |  | 403,500 |  |  |
Scheduled principal payments in year 2026 | 4,000 |  |  |  |  |  |  | 4,000 |  |  |
Scheduled principal payments in year 2028 | $ 368,000 |  |  |  |  |  |  | $ 368,000 |  |  |
Gross proceeds from the issuance of debt |  |  |  |  | $ 825,000 |  |  |  |  |  |
2018 Recapitalization [Member] | 2018 A-2-II Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  |  |  | $ 400,000 |  |  |  |  |  |
Debt instrument, stated percentage |  |  |  |  | 4.328% |  |  |  |  |  |
Debt instrument, term |  |  |  |  | 9 years 3 months |  |  |  |  |  |
2017 Recapitalization [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Gross proceeds from the issuance of debt |  |  |  |  |  | $ 1,900,000 |  |  |  |  |
Debt instrument interest rate description |  |  |  |  |  | The interest rate on the 2017 Floating Rate Notes was payable at a rate equal to LIBOR plus 125 basis points. |  |  |  |  |
2017 Recapitalization [Member] | 2017 Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Debt instrument, stated percentage | 5.00% |  |  |  |  |  |  | 5.00% |  |  |
Scheduled principal payments in year 2023 | $ 10,000 |  |  |  |  |  |  | $ 10,000 |  |  |
Scheduled principal payments in year 2027 | $ 912,500 |  |  |  |  |  |  | $ 912,500 |  |  |
2017 Recapitalization [Member] | 2017 Floating Rate Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  |  |  |  | $ 300,000 |  |  |  |  |
Debt instrument, term |  |  |  |  |  | 5 years |  |  |  |  |
2017 Recapitalization [Member] | 2017 Five-Year Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  |  |  |  | $ 600,000 |  |  |  |  |
Debt instrument, stated percentage |  |  |  |  |  | 3.082% |  |  |  |  |
2017 Recapitalization [Member] | 2017 Ten-Year Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  |  |  |  | $ 1,000,000 |  |  |  |  |
Debt instrument, stated percentage |  |  |  |  |  | 4.118% |  |  |  |  |
2015 Recapitalization [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Gross proceeds from the issuance of debt |  |  |  |  |  |  | $ 1,300,000 |  |  |  |
2015 Recapitalization [Member] | 2015 Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Debt instrument, stated percentage | 5.00% |  |  |  |  |  |  | 5.00% |  |  |
Scheduled principal payments in year 2023 | $ 8,000 |  |  |  |  |  |  | $ 8,000 |  |  |
Scheduled principal payments in year 2024 | 8,000 |  |  |  |  |  |  | 8,000 |  |  |
Scheduled principal payments in year 2025 | 736,000 |  |  |  |  |  |  | 736,000 |  |  |
2015 Recapitalization [Member] | 2015 Class Five-Year Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  |  |  |  |  | $ 500,000 |  |  |  |
Debt instrument, stated percentage |  |  |  |  |  |  | 3.484% |  |  |  |
2015 Recapitalization [Member] | 2015 Ten-Year Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  |  |  |  |  | $ 800,000 |  |  |  |
Debt instrument, stated percentage |  |  |  |  |  |  | 4.474% |  |  |  |
Notes Payable [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Principal payments on the Notes |  |  |  |  |  |  |  | 51,500 | $ 907,000 | $ 42,000 |
2021 Recapitalization [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Gross proceeds from the issuance of debt |  |  | $ 1,850,000 |  |  |  |  |  |  |  |
Debt issuance costs | 14,900 |  |  |  |  |  |  | 14,900 |  |  |
Company wrote-off In connection with the Recapitalization |  |  |  |  |  |  |  | 2,000 |  |  |
Interest expense |  |  |  |  |  |  |  | 300 |  |  |
Recapitalization-related general and administrative expenses |  |  |  |  |  |  |  | 500 |  |  |
2021 Recapitalization [Member] | 2021 A-2-I Note [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Debt instrument, stated percentage |  |  | 3.151% |  |  |  |  |  |  |  |
Debt instrument, term |  |  | 10 years |  |  |  |  |  |  |  |
Variable funding notes |  |  | $ 1,000,000 |  |  |  |  |  |  |  |
2021 Recapitalization [Member] | 2021 Variable Funding Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Variable funding notes | $ 200,000 |  |  |  |  |  |  | 200,000 |  |  |
Recapitalization-related general and administrative expenses |  |  |  |  |  |  |  | $ 2,800 |  |  |
2021 Recapitalization [Member] | 2021 Notes [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  | $ 850,000 |  |  |  |  |  |  |  |
Debt instrument, stated percentage |  | 5.00% | 2.662% |  |  |  |  |  | 5.00% |  |
Debt instrument, term |  |  | 7 years 6 months |  |  |  |  |  |  |  |
Scheduled principal payments in year 2023 |  | $ 18,500 |  |  |  |  |  |  | $ 18,500 |  |
Scheduled principal payments in year 2024 |  | 18,500 |  |  |  |  |  |  | 18,500 |  |
Scheduled principal payments in year 2025 |  | 18,500 |  |  |  |  |  |  | 18,500 |  |
Scheduled principal payments in year 2026 |  | 18,500 |  |  |  |  |  |  | 18,500 |  |
Scheduled principal payments in year 2028 |  | 18,500 |  |  |  |  |  |  | 18,500 |  |
Scheduled principal payments in year 2027 |  | 804,800 |  |  |  |  |  |  | 804,800 |  |
Scheduled principal payments in year 2029 |  | 10,000 |  |  |  |  |  |  | 10,000 |  |
Scheduled principal payments in year 2030 |  | 10,000 |  |  |  |  |  |  | 10,000 |  |
Scheduled principal payments in year 2031 |  | 905,000 |  |  |  |  |  |  | $ 905,000 |  |
Debt instrument interest rate description |  |  |  |  |  |  |  |  | Interest on the 2021 Variable Funding Notes is payable at a per year rate equal to LIBOR plus 150 basis points. |  |
Variable funding notes |  | $ 200,000 |  |  |  |  |  |  | $ 200,000 |  |
2021 Recapitalization [Member] | 2021 Notes [Member] | Minimum [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Variable fund notes, unused portion, commitment fee percentage |  |  |  |  |  |  |  |  | 50.00% |  |
2021 Recapitalization [Member] | 2021 Notes [Member] | Maximum [Member] |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |
Variable fund notes, unused portion, commitment fee percentage |  |  |  |  |  |  |  |  | 100.00% |  |

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