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Description of Business and Summary of Significant Accounting Policies - Additional Information (Detail) - USD ($)	3 Months Ended						4 Months Ended		12 Months Ended
	Sep. 09, 2018	Jun. 17, 2018	Mar. 25, 2018	Sep. 10, 2017	Jun. 18, 2017	Mar. 26, 2017	Dec. 30, 2018	Dec. 31, 2017	Dec. 30, 2018	Dec. 31, 2017	Jan. 01, 2017	Dec. 31, 2018	Jan. 01, 2018	Jan. 03, 2016
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Restricted cash and cash equivalent							$ 112,272,000	$ 96,375,000	$ 112,272,000	$ 96,375,000
Capital lease assets							22,200,000	10,500,000	22,200,000	10,500,000
Accumulated amortization of capital lease assets							6,700,000	$ 6,200,000	6,700,000	6,200,000
Depreciation and amortization expense									53,665,000	44,369,000	$ 38,140,000
Capitalized software amortization expense									18,700,000	14,800,000	10,800,000
Amortization Expenses in 2019							16,600,000		16,600,000
Amortization Expenses in 2020							11,500,000		11,500,000
Amortization Expenses in 2021							7,700,000		7,700,000
Amortization Expenses in 2022							4,200,000		4,200,000
Amortization Expenses in 2023							1,700,000		1,700,000
Exposures for workers' compensation and general liability programs							1,000,000		1,000,000
Total insurance limits under the retention programs							$ 110,000,000		$ 110,000,000
Percentage of profit-sharing arrangements with participating stores									50.00%
Revenue reduction due to profit-sharing obligation									$ 132,700,000	119,700,000	99,800,000
Rent expenses									$ 62,500,000	$ 57,900,000	$ 49,900,000
Common stock dividend declared, per share	$ 0.55	$ 0.55	$ 0.55	$ 0.46	$ 0.46	$ 0.46	$ 0.55	$ 0.46	$ 2.20	$ 1.84	$ 1.52
Common stock dividend declared, paid									$ 92,166,000	$ 84,298,000	$ 73,925,000
Interest paid									132,800,000	107,400,000	104,600,000
Cash paid for income taxes									71,700,000	122,600,000	74,300,000
Capital expenditure accrual									3,800,000	4,000,000	3,800,000
Capital lease									12,000,000
Adjustment to beginning retained deficit													$ 15,000,000
Contract liability, Current							$ 4,000,000	$ 1,400,000	4,000,000	1,400,000			2,400,000
Contract liability, Noncurrent							15,900,000	3,000,000	15,900,000	3,000,000			$ 12,600,000
Deferred tax asset							5,526,000	2,750,000	5,526,000	2,750,000
Deferred tax liability							35,697,000	29,817,000	35,697,000	29,817,000
Advertising fund assets, restricted							112,744,000	120,223,000	112,744,000	120,223,000
Revenues	$ 785,965,000	$ 779,396,000	$ 785,371,000	$ 643,642,000	$ 628,611,000	$ 624,217,000	$ 1,082,135,000	891,509,000	3,432,867,000	2,787,979,000	2,472,628,000
Amortization of Debt Issuance Costs									8,000,000	11,000,000	6,400,000
Debt issuance costs written off									$ 3,400,000	5,700,000	600,000
Percentage of royalty fee payable							5.50%		5.50%
Operating lease right use asset												$ 230,000,000
Liabilities assumed									$ 1,900,000
January One 2019 [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Revenue, Remaining Performance Obligation, Amount							$ 4,000,000		4,000,000
January One 2020 [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Revenue, Remaining Performance Obligation, Amount							3,100,000		3,100,000
January One 2021 [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Revenue, Remaining Performance Obligation, Amount							2,800,000		2,800,000
January One 2022 [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Revenue, Remaining Performance Obligation, Amount							2,500,000		2,500,000
January One 2023 [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Revenue, Remaining Performance Obligation, Amount							2,200,000		2,200,000
January One Thereafter [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Revenue, Remaining Performance Obligation, Amount							5,300,000		$ 5,300,000
Domestic Stores [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Percentage of sales contribution									6.00%
Domestic Stores [Member] | Domestic Company Owned Stores [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Cash contributed from company owned store							5,500,000		$ 5,500,000
Domestic Stores [Member] | Domestic Franchise [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Advertising fund assets, restricted							107,200,000		107,200,000
Domestic Stores [Member] | Domestic Franchise [Member] | Cash And Investments [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Advertising fund assets, restricted							95,100,000		95,100,000
Domestic Stores [Member] | Domestic Franchise [Member] | Prepaid Expenses [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Advertising fund assets, restricted							2,300,000		2,300,000
Domestic Stores [Member] | Domestic Franchise [Member] | Accounts Receivable [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Advertising fund assets, restricted							15,300,000		15,300,000
International Franchise [Member] | Alaska And Hawaii [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Revenues										2,600,000	2,300,000
Accounting Standards Update 2014-09 [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Contract liability, Current								2,400,000		2,400,000
Contract liability, Noncurrent								12,600,000		12,600,000
Deferred tax asset								3,500,000		$ 3,500,000
Term of franchise store agreement										10 years
New Accounting Pronouncement or Change in Accounting Principle, Cumulative Effect of Change on Equity or Net Assets								6,400,000		$ 6,400,000
Deferred tax liability								1,600,000		1,600,000
Accounting Standards Update 2014-09 [Member] | International Store Opening Fees [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
New Accounting Pronouncement or Change in Accounting Principle, Cumulative Effect of Change on Equity or Net Assets								15,000,000		15,000,000
Minimum [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Owned and non-owned automobile liabilities							500,000		500,000
Maximum [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Owned and non-owned automobile liabilities							3,000,000		3,000,000
2015 Recapitalization [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt issuance costs														$ 17,400,000
2017 Recapitalization [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt issuance costs								16,800,000		16,800,000
Debt issuance costs written off										5,500,000
Property Plant and Equipment [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Depreciation and amortization expense									$ 35,000,000	$ 29,600,000	$ 27,300,000
2018 Dividend [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Common stock dividend declared, per share									$ 2.20
Common stock dividend declared, paid									$ 92,200,000
2017 Dividend [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Common stock dividend declared, per share										$ 1.84
Common stock dividend declared, paid										$ 84,200,000
2016 Dividend [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Common stock dividend declared, per share											$ 1.52
Common stock dividend declared, paid											$ 74,000,000
Cash and Cash Equivalents Held for Future Interest Payment [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Restricted cash and cash equivalent							130,300,000	122,900,000	130,300,000	122,900,000
Cash Equivalents Held in Interest Reserve [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Restricted cash and cash equivalent							36,500,000	32,100,000	36,500,000	32,100,000
Cash Held as Collateral for Outstanding Letters of Credit [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Restricted cash and cash equivalent								36,700,000		36,700,000
Other Restricted Cash [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Restricted cash and cash equivalent							200,000	100,000	200,000	100,000
Advertising Fund Restricted Cash and Cash Equivalents [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Restricted cash and cash equivalent							45,000,000	$ 27,300,000	45,000,000	$ 27,300,000
Class A-2 Notes [Member] | 2015 Recapitalization [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt issuance costs														$ 17,400,000
Class A-2 Notes [Member] | 2017 Recapitalization [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt issuance costs							16,800,000		16,800,000
Class A-2 Notes [Member] | 2018 Recapitalization [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt issuance costs							$ 8,200,000		8,200,000
Class A-2 Notes [Member] | 2012 Fixed Rate Notes [Member] | 2018 Recapitalization [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt issuance costs written off									$ 3,200,000

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- Definition

An amount representing assets held by the Company's national advertising fund, consisting primarily of cash received from franchisees and accounts receivable from franchisees, which can only be used for activities that promote the brand.

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The percentage of supply chain center pre-tax profits shared with domestic stores that purchase all of their food from domestic Company-owned supply chain centers.

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The amount of profit-sharing obligations incurred that were recorded as a revenue reduction in the Company's Supply Chain segment.

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