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Stock-Based Compensation and Other Stock Plans - Additional Information (Detail) - USD ($)
$ / shares in Units, $ in Millions
 12 Months Ended
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 $ 31.0 $ 39.8 $ 38.1
Cash received from stock purchase and option plan exercises 41.8 41.6 33.0
Tax benefit realized from exercise and vesting of share-based payment arrangements $ 24.8 $ 26.4 $ 22.3
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 4,121,252    
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 56,582
Number of shares reserved for issuance 780,563    
Employee contributions for purchase of common stock $ 2.4    
Stock based compensation expense (benefit) $ 0.0 $ 2.3 $ 1.5
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 74,502
Number of shares reserved for issuance 613,469    
Stock based compensation expense (benefit) $ 0.2 $ 2.9 $ 1.7
Franchisee contributions for purchase of common stock $ 4.6    
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]      
Weighted average contractual term (in years) 10 years    
Weighted-average grant date fair value granted $ 22.99 $ 25.64 $ 20.19
Intrinsic value of stock exercised $ 35.2 $ 37.6 $ 24.6
Fair value of stock vested 12.7 $ 9.9 $ 9.6
Unrecognized compensation cost related to non-vested award $ 16.6    
Cost expected to be recognized over weighted-average period, in years 1 year 6 months    
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 $ 138.83 $ 139.30 $ 102.11
Unrecognized compensation cost related to non-vested award $ 13.7    
Cost expected to be recognized over weighted-average period, in years 1 year 7 months 6 days    
Maximum stock percentage to be awarded 100.00%    
Performance period for awards granted (in years) 3 years    
Performance awards shares paid out 94,186 130,764 146,313
Shares vested 61,149 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 vested 78,585    
Shares granted 45,502 64,327 78,585
Units granted vesting date 2018 2017 2016
Cash-Settled Stock Appreciation Rights [Member]      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Weighted average contractual term (in years) 10 years    
Weighted-average grant date fair value granted $ 39.51    
Intrinsic value of stock exercised $ 3.3 $ 11.0 $ 5.5
Fair value of stock vested 0.2 $ 4.6 $ 5.9
Unrecognized compensation cost related to non-vested award $ 0.3    
Cost expected to be recognized over weighted-average period, in years 1 year 6 months    
Shares vested 4,000    
Shares granted 4,000    
Stock-Settled SARs [Member]      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Weighted-average grant date fair value granted $ 19.47 $ 25.37 $ 19.55
Intrinsic value of stock exercised $ 1.9 $ 1.0 $ 0.1
Fair value of stock vested 2.1 $ 1.4 $ 0.6
Unrecognized compensation cost related to non-vested award $ 2.4    
Cost expected to be recognized over weighted-average period, in years 1 year 6 months    
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 10,398
Directors' Fee Plan [Member]      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Percentage of non-employee directors fee 100.00%    
Number of shares issued 2,579 2,747 21,533
Deferred shares received 2,019 1,969 20,483
Number of shares reserved for issuance 158,105