Stock-Based Compensation and Other Stock Plans - Additional Information (Detail) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended		12 Months Ended
	Apr. 01, 2017	Apr. 02, 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	$ 7.4	$ 5.8
Cash received from stock purchase and option plan exercises	14.1	9.9
Tax benefit realized from exercise and vesting of share-based payment arrangements	$ 9.0	$ 10.2
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	3,197,001
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	780,563
Employee contributions for purchase of common stock	$ 3.8
Stock based compensation expense (benefit)	$ 0.0	$ 0.2
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	613,469
Stock based compensation expense (benefit)	$ 0.0	$ 0.5
Franchisee contributions for purchase of common stock	$ 6.5
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
Intrinsic value of stock exercised	$ 13.2	$ 12.4
Fair value of stock vested	14.0	$ 12.7
Unrecognized compensation cost related to non-vested award	$ 33.0
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	$ 168.70	$ 138.03
Unrecognized compensation cost related to non-vested award	$ 22.8
Cost expected to be recognized over weighted-average period, in years	2 years 1 month 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
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]
Weighted average contractual term (in years)	10 years
Weighted-average grant date fair value granted	$ 23.81
Intrinsic value of stock exercised	$ 0.6	$ 0.5
Fair value of stock vested	0.2	$ 0.2
Unrecognized compensation cost related to non-vested award	$ 0.2
Cost expected to be recognized over weighted-average period, in years	1 year 10 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	$ 0.5	$ 0.4
Fair value of stock vested	2.1	$ 2.1
Unrecognized compensation cost related to non-vested award	$ 4.2
Cost expected to be recognized over weighted-average period, in years	2 years 2 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	6,600