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Stock-Based Compensation and Other Stock Plans - Additional Information (Detail) - USD ($)
3 Months Ended 9 Months Ended 12 Months Ended
Sep. 30, 2017
Oct. 01, 2016
Sep. 30, 2017
Oct. 01, 2016
Dec. 31, 2016
Jan. 02, 2016
Jan. 03, 2015
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Net stock-based compensation expense $ 7,000,000 $ 7,300,000 $ 21,400,000 $ 21,500,000      
Cash received from stock purchase and option plan exercises 1,600,000 4,000,000 36,200,000 32,400,000      
Tax benefit realized from exercise and vesting of share-based payment arrangements $ 800,000 1,800,000 $ 12,900,000 $ 14,900,000      
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 3,287,403   3,287,403        
Franchisee Stock Purchase Plan [Member]              
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Number of shares issued     47,314 42,867      
Number of shares reserved for issuance 566,155   566,155        
Stock based compensation expense (benefit) $ 0 0 $ 100,000 $ (400,000)      
Franchisee contributions for purchase of common stock     $ 2,800,000        
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.        
Employees Stock Purchase Plan [Member]              
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Number of shares issued     26,963 27,156      
Number of shares reserved for issuance 753,600   753,600        
Employee contributions for purchase of common stock     $ 1,400,000        
Stock based compensation expense (benefit) $ 0 $ 0 $ 100,000 $ (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.        
Stock Option [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     $ 31.13 $ 22.99      
Intrinsic value of stock exercised $ 2,000,000 $ 4,800,000 $ 23,400,000 $ 22,200,000      
Fair value of stock vested     14,000,000 $ 12,700,000      
Unrecognized compensation cost related to non-vested award 23,300,000   $ 23,300,000        
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     $ 168.70 $ 138.80      
Unrecognized compensation cost related to non-vested award $ 14,100,000   $ 14,100,000        
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     60,980 94,186      
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         45,502 64,327 78,585
Units granted vesting date         2018 2017 2016
Shares vested         78,585    
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     $ 13.52        
Intrinsic value of stock exercised $ 0 $ 100,000 $ 800,000 $ 900,000      
Fair value of stock vested     100,000 $ 200,000      
Unrecognized compensation cost related to non-vested award 100,000   $ 100,000        
Cost expected to be recognized over weighted-average period, in years     1 year 4 months 24 days        
Shares granted     1,000        
Shares vested     3,000        
Stock-Settled SARs [Member]              
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Weighted-average grant date fair value granted     $ 24.13 $ 19.47      
Intrinsic value of stock exercised 0 $ 100,000 $ 500,000 $ 800,000      
Fair value of stock vested     2,100,000 $ 2,100,000      
Unrecognized compensation cost related to non-vested award $ 3,000,000   $ 3,000,000        
Cost expected to be recognized over weighted-average period, in years     1 year 8 months 12 days        
Shares granted     100,000        
Restricted Stock [Member] | Non-employee Directors [Member]              
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]              
Shares granted     6,966 7,145