Stock-Based Compensation - Weighted Average Fair Value (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended		12 Months Ended
	Apr. 03, 2018	Apr. 04, 2017	Jan. 02, 2018
Stock Options
Stock-Based Compensation
Weighted average fair value at the grant date for options issued (in dollars per share)	$ 11.58	$ 14.88
Weighted average assumptions under Black-Scholes valuation model
Expected option term	6 years 10 months 24 days	6 years 10 months 24 days
Expected stock price volatility (as a percent)	27.80%	24.40%
Risk-free interest rate (as a percent)	2.80%	2.30%
Dividend yield (as a percent)	2.50%	1.60%
Stock option activity, Shares
Outstanding at beginning of year (in shares)	1,741
Granted (in shares)	369
Exercised (in shares)	(20)
Outstanding at end of year (in shares)	2,090		1,741
Exercisable at end of year (in shares)	1,275
Weighted Average Exercise Price
Outstanding at beginning of year (in dollars per share)	$ 42.25
Granted (in dollars per share)	47.06
Exercised (in dollars per share)	27.11
Outstanding at end of year (in dollars per share)	43.25		$ 42.25
Exercisable at end of year (in dollars per share)	$ 38.66
Weighted Average Remaining Contractual Term (In years)
Weighted Average Remaining Contractual Term (In years)	4 years 4 months 24 days		4 years
Exercisable at end of year (In years)	2 years 10 months 24 days
Aggregate Intrinsic Value
Outstanding at beginning of year	$ 14,766
Outstanding at end of year	13,609		$ 14,766
Exercisable at end of year	13,059
Total intrinsic value of options exercised	400	$ 6,700
Unrecognized Stock-based Compensation Expense
Total unrecognized stock-based compensation expenses related to unvested stock options, restricted shares and restricted share units	$ 9,600
Expected weighted average period for recognition of compensation expense related to unvested stock option	3 years 8 months 12 days
Restricted Shares and Restricted Share Units
Restricted Shares and Restricted Share Units, Shares
Outstanding at beginning of year (in shares)	1,694
Granted (in shares)	337
Vested (in shares)	(245)
Forfeited (in shares)	(33)
Outstanding at end of year (in shares)	1,753		1,694
Fair value of shares vested	$ 10,400	$ 11,000
Weighted Average Fair Value
Outstanding at beginning of year (in dollars per share)	$ 46.38
Granted (in dollars per share)	47.06	$ 61.29
Vested (in dollars per share)	42.28
Forfeited (in dollars per share)	45.32
Outstanding at end of year (in dollars per share)	$ 47.11		$ 46.38
Unrecognized Stock-based Compensation Expense
Total unrecognized stock-based compensation expenses related to unvested stock options, restricted shares and restricted share units	$ 40,200
Expected weighted average period for recognition of compensation expense related to unvested stock option	3 years 1 month 6 days