Common Stock Repurchase (Narrative) (Details) - USD ($) $ / shares in Units, shares in Millions	12 Months Ended
	Jan. 01, 2021	Jan. 03, 2020	Dec. 28, 2018	Nov. 30, 2017
Equity, Class of Treasury Stock [Line Items]
Stock repurchases	$ 81,600,000	$ 179,800,000	$ 90,000,000.0
Retained Earnings
Equity, Class of Treasury Stock [Line Items]
Stock repurchases	$ 68,600,000	$ 149,100,000	$ 75,300,000
2017 Stock Repurchase Program
Equity, Class of Treasury Stock [Line Items]
Stock repurchase program authorized amount				$ 600,000,000.0
Common stock repurchased during period(in shares)	1.9	4.7	2.4
Common stock repurchased average price (in dollars per share)	$ 43.40	$ 38.51	$ 37.23
Stock repurchases	$ 81,600,000	$ 179,800,000	$ 90,000,000.0
Stock repurchase program, remaining authorized fund	$ 90,700,000