Description of Business and Summary of Significant Accounting Policies - Additional Information (Detail) - USD ($)		12 Months Ended
	Feb. 21, 2024	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Description Of Business And Summary Of Significant Accounting Policies
Advertising fund assets restricted		$ 106,335,000	$ 162,660,000
Restricted cash and cash equivalent		133,063,000	117,212,000
Depreciation and amortization		80,640,000	80,251,000	$ 72,923,000
Capitalized software amortization expense		28,200,000	28,500,000	24,300,000
Amortization of Debt Issuance Costs		5,500,000	5,600,000	7,500,000
Exposures for workers' compensation and general liability programs		2,000,000
Insurance Reserves		56,300,000	57,600,000
Revenue reduction due to profit-sharing obligation		138,700,000	110,000,000	148,300,000
Interest paid		186,800,000	188,500,000	174,600,000
Other current accrued liabilities		124,950,000	92,957,000
Other current accrued liabilities related to unredeemed gift cards		38,900,000	29,200,000
Cash paid for income taxes		136,300,000	134,400,000	106,300,000
Capital expenditure accrual		6,700,000	$ 6,900,000	$ 5,400,000
Capitalized Software Not Yet Placed In Service		$ 34,100,000
Temporary Reduction		0.25%
Advertising contribution		6.00%
Common Stock, Dividends, Per Share, Declared		$ 4.84	$ 4.4	$ 3.76
Common stock dividend declared, paid		$ 169,772,000	$ 157,531,000	$ 139,399,000
Total insurance limits under the retention programs		110,000,000
Contract liability, Current		5,300,000	5,500,000
Contract liability, Noncurrent		$ 19,900,000	22,700,000
Percentage of royalty fee		5.50%
Percentage of sales contribution		6.00%
Percentage of profit-sharing arrangements with participating stores		50.00%
Advertising Expense		$ 473,195,000	485,330,000	$ 479,501,000
Conditional commitments		14,700,000	$ 14,700,000
Sales and Excise Tax Payable		2,600,000
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
2021 Dividend [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]
Description Of Business And Summary Of Significant Accounting Policies
Common Stock, Dividends, Per Share, Declared		$ 4.84
Common stock dividend declared, paid		$ 170,400,000
Non-cash investing activities related to lease incentives		100,000
2024 Dividend [Member] | Subsequent Event [Member]
Description Of Business And Summary Of Significant Accounting Policies
Amount per share, dividend payable	$ 1.51
Date of dividend payable	Mar. 29, 2024
Dividends Payable, Date of Record	Mar. 15, 2024
Property Plant and Equipment [Member]
Description Of Business And Summary Of Significant Accounting Policies
Depreciation and amortization		52,400,000	51,800,000	48,600,000
Cash and Cash Equivalents Held for Future Interest Payment [Member]
Description Of Business And Summary Of Significant Accounting Policies
Restricted cash and cash equivalent		149,100,000	141,200,000
Cash Equivalents Held in Interest Reserve [Member]
Description Of Business And Summary Of Significant Accounting Policies
Restricted cash and cash equivalent		51,600,000	49,900,000
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		88,200,000	143,600,000
Other Assets [Member] | Cloud Based Computing Arrangements [Member]
Description Of Business And Summary Of Significant Accounting Policies
Intangible assets net		11,100,000	11,900,000
Amortization of intangible assets		6,200,000	3,500,000
Accumulated amortization intangible assets		$ 2,700,000	1,900,000	1,300,000
DPC Dash Ltd [Member]
Description Of Business And Summary Of Significant Accounting Policies
Conversion of Stock, Shares Converted		18,101,019
Domestic Stores [Member]
Description Of Business And Summary Of Significant Accounting Policies
Percentage of sales contribution		6.00%
U.S. franchise [Member]
Description Of Business And Summary Of Significant Accounting Policies
Advertising contribution		6.00%
U.S. franchise [Member] | Domestic Franchise Advertising [Member]
Description Of Business And Summary Of Significant Accounting Policies
Advertising Expense		$ 473,200,000	485,300,000	479,500,000
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		88,200,000	143,600,000
U S Stores [Member] | Domestic Franchise [Member] | Accounts receivable [Member]
Description Of Business And Summary Of Significant Accounting Policies
Advertising fund assets restricted		14,000,000	13,100,000
U S Stores [Member] | Domestic Franchise [Member] | Prepaid expenses [Member]
Description Of Business And Summary Of Significant Accounting Policies
Advertising fund assets restricted		4,100,000	6,000,000
U S Stores [Member] | U.S. Company-owned stores [Member]
Description Of Business And Summary Of Significant Accounting Policies
Advertising fund assets restricted		2,100,000	4,800,000
Advertising Expense		$ 33,500,000	$ 33,800,000	$ 42,100,000