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Description of Business and Summary of Significant Accounting Policies - Additional Information (Detail) - USD ($) |  | 12 Months Ended
--- | --- | ---
Feb. 21, 2023 | Jan. 01, 2023 | Jan. 02, 2022 | Jan. 03, 2021
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Advertising fund assets restricted |  | $ 162,660,000 | $ 180,904,000 |
Restricted cash and cash equivalent |  | 117,212,000 | 115,185,000 |
Depreciation and amortization |  | 80,251,000 | 72,923,000 | $ 65,038,000
Capitalized software amortization expense |  | 28,500,000 | 24,300,000 | 23,000,000.0
Amortization of Debt Issuance Costs |  | 5,600,000 | 7,500,000 | 5,500,000
Exposures for workers' compensation and general liability programs |  | 2,000,000.0 |  |
Insurance Reserves |  | 57,600,000 | 56,500,000 |
Revenue reduction due to profit-sharing obligation |  | 110,000,000.0 | 148,300,000 | 169,000,000.0
Interest paid |  | 188,500,000 | 174,600,000 | 160,600,000
Other current accrued liabilities |  | 92,957,000 | 102,577,000 |
Other current accrued liabilities related to unredeemed gift cards |  | 29,200,000 | 23,800,000 |
Cash paid for income taxes |  | 134,400,000 | 106,300,000 | 60,400,000
Capital expenditure accrual |  | 6,900,000 | $ 5,400,000 | $ 4,300,000
Capitalized Software Not Yet Placed In Service |  | $ 19,400,000 |  |
Common Stock, Dividends, Per Share, Declared |  | $ 4.40 | $ 3.76 | $ 3.12
Common stock dividend declared, paid |  | $ 157,531,000 | $ 139,399,000 | $ 121,925,000
Total insurance limits under the retention programs |  | 110,000,000.0 |  |
Contract liability, Current |  | 5,500,000 | 5,400,000 |
Contract liability, Noncurrent |  | $ 22,700,000 | 24,300,000 |
Percentage of royalty fee |  | 5.50% |  |
Percentage of profit-sharing arrangements with participating stores |  | 50.00% |  |
Advertising Expense |  | $ 485,330,000 | 479,501,000 | 462,238,000
Conditional commitments |  | 14,700,000 |  | 15,300,000
Non-cash investing activities related to lease incentives |  | 7,000,000.0 | 8,000,000.0 | $ 4,200,000
Deferred Income Tax Liabilities, Net |  | 7,761,000 | 3,922,000 |
Accounting Standards Update 2016-13 [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Non-cash investing activities related to lease incentives |  | 1,500,000 |  |
Deferred Income Tax Liabilities, Net |  |  | $ 400,000 |
Minimum [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Owned and non-owned automobile liabilities |  | 500,000 |  |
Maximum [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Owned and non-owned automobile liabilities |  | $ 5,500,000 |  |
2020 Divided [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Common Stock, Dividends, Per Share, Declared |  |  |  | $ 3.12
Common stock dividend declared, paid |  |  |  | $ 122,200,000
Non-cash investing activities related to lease incentives |  |  |  | 700,000
2021 Divided [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Common Stock, Dividends, Per Share, Declared |  |  | $ 3.76 |
Common stock dividend declared, paid |  |  | $ 139,600,000 |
Non-cash investing activities related to lease incentives |  |  | 400,000 |
2022 Dividend [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Common Stock, Dividends, Per Share, Declared |  | $ 4.40 |  |
Common stock dividend declared, paid |  | $ 157,500,000 |  |
Non-cash investing activities related to lease incentives |  | 100,000 |  |
2023 Dividend [Member] | Subsequent Event [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Amount per share, dividend payable | $ 1.21 |  |  |
Date of dividend payable | Mar. 30, 2023 |  |  |
Property Plant and Equipment [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Depreciation and amortization |  | 51,800,000 | 48,600,000 | 42,000,000.0
Cash and Cash Equivalents Held for Future Interest Payment [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Restricted cash and cash equivalent |  | 141,200,000 | 133,200,000 |
Cash Equivalents Held in Interest Reserve [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Restricted cash and cash equivalent |  | 49,900,000 | 47,200,000 |
Other Restricted Cash [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Restricted cash and cash equivalent |  | 200,000 | 200,000 |
Advertising Fund Restricted Cash and Cash Equivalents [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Restricted cash and cash equivalent |  | 143,600,000 | 161,700,000 |
Other Assets [Member] | Cloud Based Computing Arrangements [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Intangible assets net |  | 11,900,000 | 10,600,000 |
Amortization of intangible assets |  | 3,500,000 | 1,700,000 |
Accumulated amortization intangible assets |  | $ 1,900,000 | 1,300,000 | 400,000
Domestic Stores [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Percentage of sales contribution |  | 6.00% |  |
U.S. franchise [Member] | Domestic Franchise Advertising [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Advertising Expense |  | $ 485,300,000 | 479,500,000 | 462,200,000
U S Stores [Member] | Domestic Franchise [Member] | Cash and cash equivalents [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Advertising fund assets restricted |  | 143,600,000 | 161,700,000 |
U S Stores [Member] | Domestic Franchise [Member] | Accounts receivable [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Advertising fund assets restricted |  | 13,100,000 | 14,500,000 |
U S Stores [Member] | Domestic Franchise [Member] | Prepaid expenses [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Advertising fund assets restricted |  | 6,000,000.0 | 4,700,000 |
U S Stores [Member] | U.S. Company-owned stores [Member] |  |  |  |
Description Of Business And Summary Of Significant Accounting Policies |  |  |  |
Advertising fund assets restricted |  | 4,800,000 | 7,200,000 |
Advertising Expense |  | $ 33,800,000 | $ 42,100,000 | $ 35,700,000

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