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