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Stock-Based Compensation and Other Stock Plans - Additional Information (Detail) - USD ($)
$ / shares in Units, $ in Millions
 12 Months Ended
Dec. 30, 2017
Dec. 31, 2016
Jan. 02, 2016
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Net stock-based compensation expense $ 30.3 $ 31.0 $ 39.8
Cash received from stock purchase and option plan exercises 46.2 41.8 41.6
Tax benefit realized from exercise and vesting of share-based payment arrangements $ 20.9 $ 24.8 $ 26.4
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 3,296,859    
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 57,324
Number of shares reserved for issuance 753,600    
Employee contributions for purchase of common stock $ 2.5    
Stock based compensation expense (benefit) $ 0.1 $ 0.0 $ 2.3
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 47,314 42,867 74,001
Number of shares reserved for issuance 566,155    
Stock based compensation expense (benefit) $ 0.2 $ (0.2) $ 2.9
Franchisee contributions for purchase of common stock $ 4.8    
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 $ 31.13 $ 22.99 $ 25.64
Intrinsic value of stock exercised $ 33.3 $ 35.2 $ 37.6
Fair value of stock vested 14.0 $ 12.7 $ 9.9
Unrecognized compensation cost related to non-vested award $ 19.3    
Cost expected to be recognized over weighted-average period, in years 1 year 6 months    
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 64,327    
Shares granted 13,648 45,502 64,327
Units granted vesting date 2019 2018 2017
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 $ 138.83 $ 139.30
Unrecognized compensation cost related to non-vested award $ 9.5    
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 60,980 94,186 130,764
Shares vested 50,316 61,149 94,186
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 $ 26.36    
Intrinsic value of stock exercised $ 1.6 $ 3.3 $ 11.0
Fair value of stock vested 0.2 $ 0.2 $ 4.6
Unrecognized compensation cost related to non-vested award $ 0.2    
Cost expected to be recognized over weighted-average period, in years 1 year 1 month 6 days    
Shares vested 3,000    
Shares granted 1,000    
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 $ 25.37
Intrinsic value of stock exercised $ 0.9 $ 1.9 $ 1.0
Fair value of stock vested 2.1 $ 2.1 $ 1.4
Unrecognized compensation cost related to non-vested award $ 2.5    
Cost expected to be recognized over weighted-average period, in years 1 year 6 months    
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 8,640
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 1,800 2,579 2,747
Deferred shares received 1,312 2,019 1,969
Number of shares reserved for issuance 169,080