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Stock-Based Compensation and Other Stock Plans - Additional Information (Detail) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended 12 Months Ended
Apr. 02, 2016
Apr. 04, 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 $ 5.8 $ 11.5      
Cash received from stock purchase and option plan exercises 9.9 14.5      
Tax benefit realized from exercise and vesting of share-based payment arrangements $ 10.2 $ 15.1      
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 4,078,176        
Employees Stock Purchase Plan [Member]          
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]          
Number of shares issued 0 0      
Number of shares reserved for issuance 807,719        
Employee contributions for purchase of common stock $ 4.1        
Stock based compensation expense (benefit) $ (0.2) $ 1.0      
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 0 0      
Number of shares reserved for issuance 156,336        
Stock based compensation expense (benefit) $ (0.5) $ 1.2      
Franchisee contributions for purchase of common stock $ 5.9        
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 $ 25.65      
Intrinsic value of stock exercised $ 12.4 $ 19.3      
Fair value of stock vested 12.7 $ 9.8      
Unrecognized compensation cost related to non-vested award $ 27.3        
Cost expected to be recognized over weighted-average period, in years 2 years 2 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 $ 138.03 $ 138.48      
Unrecognized compensation cost related to non-vested award $ 23.2        
Cost expected to be recognized over weighted-average period, in years 2 years        
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]          
Weighted average contractual term (in years) 10 years        
Weighted-average grant date fair value granted $ 31.16        
Intrinsic value of stock exercised $ 0.5 $ 3.4      
Fair value of stock vested 0.2 $ 3.4      
Unrecognized compensation cost related to non-vested award $ 0.2        
Cost expected to be recognized over weighted-average period, in years 2 years 2 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]          
Weighted-average grant date fair value granted $ 19.47 $ 25.36      
Intrinsic value of stock exercised $ 0.4 $ 0.3      
Fair value of stock vested 2.1 $ 1.3      
Unrecognized compensation cost related to non-vested award $ 4.0        
Cost expected to be recognized over weighted-average period, in years 2 years 2 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 6,600   8,640