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Stock-Based Compensation and Other Stock Plans - Additional Information (Detail) - USD ($)
 3 Months Ended 9 Months Ended 12 Months Ended
Oct. 01, 2016
Oct. 03, 2015
Oct. 01, 2016
Oct. 03, 2015
Jan. 02, 2016
Jan. 03, 2015
Dec. 28, 2013
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Net stock-based compensation expense $ 7,300,000 $ 6,700,000 $ 21,500,000 $ 29,800,000      
Cash received from stock purchase and option plan exercises 4,000,000 3,200,000 32,400,000 39,700,000      
Tax benefit realized from exercise and vesting of share-based payment arrangements $ 1,800,000 1,100,000 $ 14,900,000 $ 20,400,000      
2011 Incentive Stock and Awards Plan [Member]              
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Number of shares available for future grants 4,100,874   4,100,874        
Employees Stock Purchase Plan [Member]              
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Number of shares issued     27,156 57,324      
Number of shares reserved for issuance 780,563   780,563        
Employee contributions for purchase of common stock     $ 1,400,000        
Stock based compensation expense (benefit) $ 0 0 $ (100,000) $ 2,100,000      
Employee stock purchase plan, description     The purchase price of the company's common stock to participants is the lesser of the mean of the high and low price of the stock on the beginning date (May 15) or ending date (the following May 14) of each plan year.        
Franchisee Stock Purchase Plan [Member]              
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Number of shares issued     42,867 74,001      
Number of shares reserved for issuance 613,469   613,469        
Stock based compensation expense (benefit) $ 0 0 $ (400,000) $ 2,200,000      
Franchisee contributions for purchase of common stock     $ 2,600,000        
Franchisee stock purchase plan, description     All franchisees in the United States and Canada are eligible to participate in a franchisee stock purchase plan. The purchase price of the company's common stock to participants is the lesser of the mean of the high and low price of the stock on the beginning date (May 15) or ending date (the following May 14) of each plan year.        
Stock Option [Member]              
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Number of shares available for future grants 0   0        
Weighted average contractual term (in years)     10 years        
Weighted-average grant date fair value granted     $ 22.99 $ 25.64      
Intrinsic value of stock exercised $ 4,800,000 $ 5,500,000 $ 22,200,000 $ 35,700,000      
Fair value of stock vested     12,700,000 $ 9,900,000      
Unrecognized compensation cost related to non-vested award 20,100,000   $ 20,100,000        
Cost expected to be recognized over weighted-average period, in years     1 year 8 months 12 days        
Performance Awards [Member]              
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Weighted average contractual term (in years)     3 years        
Weighted-average grant date fair value granted     $ 138.80 $ 139.05      
Unrecognized compensation cost related to non-vested award $ 17,700,000   $ 17,700,000        
Cost expected to be recognized over weighted-average period, in years     1 year 8 months 12 days        
Maximum stock percentage to be awarded     100.00%        
Performance period for awards granted (in years)     3 years        
Performance awards shares paid out     94,186 130,764      
Restricted Stock Units [Member]              
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Performance period for awards granted (in years)     1 year        
Awards granted vesting period (in years)     2 years        
Shares granted         64,327 78,585 81,453
Units granted vesting date         2017 2016 2015
Shares vested         81,453    
Cash-Settled Stock Appreciation Rights [Member]              
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Number of shares available for future grants 0 0 0 0      
Weighted average contractual term (in years)     10 years        
Weighted-average grant date fair value granted     $ 24.87        
Intrinsic value of stock exercised $ 100,000 $ 400,000 $ 900,000 $ 10,400,000      
Fair value of stock vested     200,000 $ 3,800,000      
Unrecognized compensation cost related to non-vested award $ 200,000   $ 200,000        
Cost expected to be recognized over weighted-average period, in years     1 year 8 months 12 days        
Shares granted     4,000        
Shares vested     4,000        
Stock-Settled SARs [Member]              
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Number of shares available for future grants 0   0        
Weighted-average grant date fair value granted     $ 19.47 $ 25.37      
Intrinsic value of stock exercised $ 100,000 $ 200,000 $ 800,000 $ 900,000      
Fair value of stock vested     2,100,000 $ 1,400,000      
Unrecognized compensation cost related to non-vested award $ 2,900,000   $ 2,900,000        
Cost expected to be recognized over weighted-average period, in years     1 year 8 months 12 days        
Shares granted     101,000        
Restricted Stock [Member] | Non-employee Directors [Member]              
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Shares granted     7,145 8,640