Description of Business and Summary of Significant Accounting Policies - Additional Information (Detail) - USD ($)			3 Months Ended						4 Months Ended		12 Months Ended
	Dec. 28, 2014	Dec. 29, 2013	Sep. 11, 2016	Jun. 19, 2016	Mar. 27, 2016	Sep. 06, 2015	Jun. 14, 2015	Mar. 22, 2015	Jan. 01, 2017	Jan. 03, 2016	Jan. 01, 2017	Jan. 03, 2016	Dec. 28, 2014
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Restricted cash									$ 69,113,000	$ 128,554,000	$ 69,113,000	$ 128,554,000
Capital lease assets									4,700,000	5,100,000	4,700,000	5,100,000
Accumulated amortization of capital lease assets									5,800,000	$ 5,400,000	5,800,000	5,400,000
Depreciation and amortization expense											38,140,000	32,434,000	$ 35,788,000
Pre tax expense													5,800,000
Impairment loss on long-lived assets											0	0	0
Amortization of debt issuance costs											6,418,000	12,393,000	5,746,000
Goodwill impairment charges											0	0	0
Capitalized software amortization expense											10,800,000	8,300,000	7,300,000
Proceeds from enhancements of developed software											4,400,000	3,900,000	3,400,000
Proceeds from software license and development											2,000,000	1,800,000	900,000
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											$ 99,800,000	85,800,000	75,700,000
Advertising expense											34,500,000	32,000,000	29,000,000
Advertising contributions by company-owned stores											26,100,000	23,200,000	20,900,000
Advertising contributions by franchisees											283,700,000	247,000,000	217,700,000
Rent expenses											$ 49,900,000	$ 46,100,000	$ 43,000,000
Common stock dividend declared, per share			$ 0.38	$ 0.38	$ 0.38	$ 0.31	$ 0.31	$ 0.31	$ 0.38	$ 0.31	$ 1.52	$ 1.24	$ 1.00
Common stock dividend declared, paid											$ 73,925,000	$ 80,329,000	$ 52,843,000
Derivative instruments outstanding									$ 0	$ 0	0	0
Interest paid											104,600,000	80,800,000	81,100,000
Cash paid for income taxes											74,300,000	80,100,000	76,500,000
Capital expenditure accrual											3,800,000	800,000
Capital lease						$ 600,000		$ 3,400,000
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
2012 Recapitalization [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt issuance costs									39,900,000		39,900,000
Debt extinguishment											551,300,000
Debt issuance costs written off											600,000	6,900,000	200,000
2015 Recapitalization [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt issuance costs									17,400,000		17,400,000
Debt issuance costs written off											$ 6,900,000
Software [Member] | Minimum [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Estimated useful lives of the software											1 year
Software [Member] | Maximum [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Estimated useful lives of the software											3 years
Property Plant and Equipment [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Depreciation and amortization expense											$ 27,300,000	24,100,000	28,400,000
Cash Held for Future Interest Payment [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Restricted cash									99,800,000	114,200,000	99,800,000	114,200,000
Cash Held in Interest Reserve [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Restricted cash									26,700,000	26,700,000	26,700,000	26,700,000
Cash Held as Collateral for Outstanding Letters of Credit [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Restricted cash										$ 40,000,000		40,000,000
2016 Dividend [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Common stock dividend declared											$ 74,000,000
Common stock dividend declared, per share											$ 1.52
Common stock dividend declared, paid											$ 74,000,000
2015 Dividend [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Common stock dividend declared												$ 66,500,000
Common stock dividend declared, per share												$ 1.24
Common stock dividend declared, paid												$ 66,500,000
2014 Dividend [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Common stock dividend declared													$ 55,300,000
Common stock dividend declared, per share													$ 1.00
Common stock dividend declared, paid													$ 41,700,000
Third Quarter 2014 Dividend [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Common stock dividend declared, paid	$ 13,800,000
Third Quarter 2013 Dividend [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Common stock dividend declared, paid		$ 11,100,000
2012 Fixed Rate Notes [Member] | 2015 Recapitalization [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt extinguishment											551,300,000
Class A-2 Notes [Member] | 2012 Recapitalization [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt issuance costs									$ 39,900,000		39,900,000
Class A-2 Notes [Member] | 2012 Fixed Rate Notes [Member] | 2012 Recapitalization [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt extinguishment											$ 551,300,000
Debt issuance costs, amortization period											7 years
Class A-2-I Notes [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt issuance costs, amortization period											5 years
Class A-2-I Notes [Member] | 2015 Fixed Rate Notes [Member] | 2015 Recapitalization [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt issuance costs, amortization period											5 years
Class A-2-II Notes [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt issuance costs, amortization period											10 years
Class A-2-II Notes [Member] | 2015 Fixed Rate Notes [Member] | 2015 Recapitalization [Member]
Description Of Business And Summary Of Significant Accounting Policies [Line Items]
Debt issuance costs, amortization period											10 years