Stock-Based Compensation and Other Stock Plans - Additional Information (Detail) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	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	$ 39.8	$ 38.1	$ 38.5
Cash received from stock purchase and option plan exercises	41.6	33.0	29.2
Tax benefit realized from exercise and vesting of share-based payment arrangements	$ 26.4	$ 22.3	$ 18.3
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	5,031,957
Employees Stock Purchase Plan [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Number of shares issued	57,324	56,582	93,442
Number of shares reserved for issuance	807,719
Employee contributions for purchase of common stock	$ 2.8
Stock based compensation expense	$ 2.3	$ 1.5	$ 2.6
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	74,001	74,502	105,406
Number of shares reserved for issuance	156,336
Stock based compensation expense	$ 2.9	$ 1.7	$ 3.3
Franchisee contributions for purchase of common stock	$ 4.3
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	$ 25.64	$ 20.19	$ 17.36
Intrinsic value of stock exercised	$ 37.6	$ 24.6	$ 14.1
Fair value of stock vested	9.9	$ 9.6	$ 7.9
Unrecognized compensation cost related to non-vested award	$ 16.2
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	$ 139.30	$ 102.11	$ 77.33
Unrecognized compensation cost related to non-vested award	$ 16.3
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	130,764	146,313	213,459
Shares vested	94,000	131,000	148,000
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	81,453
Shares granted	64,327	78,585	81,453
Units granted vesting date	2017	2016	2015
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	$ 33.29
Intrinsic value of stock exercised	$ 11.0	$ 5.5	$ 4.4
Fair value of stock vested	4.6	$ 5.9	$ 5.7
Unrecognized compensation cost related to non-vested award	$ 0.4
Cost expected to be recognized over weighted-average period, in years	1 year 4 months 24 days
Shares vested	44,000
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	$ 25.37	$ 19.55	$ 17.47
Intrinsic value of stock exercised	$ 1.0	$ 0.1	$ 0.0
Fair value of stock vested	1.4	$ 0.6	$ 0.0
Unrecognized compensation cost related to non-vested award	$ 2.6
Cost expected to be recognized over weighted-average period, in years	1 year 4 months 24 days
Shares granted	113,000
Restricted Stock [Member] | Non-employee Directors [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Shares granted	8,640	10,398	13,437
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	2,747	21,533	2,313
Deferred shares received	1,969	20,483	1,021
Number of shares reserved for issuance	155,512