Common Stock Repurchase (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	12 Months Ended
	Jan. 03, 2020	Dec. 28, 2018	Dec. 29, 2017	Nov. 30, 2017	Aug. 31, 2015	Nov. 28, 2014
Stock Repurchased and Retired During Period, Value	$ 179.8	$ 90.0	$ 288.3
Retained Earnings [Member]
Stock Repurchased and Retired During Period, Value	$ 149.1	$ 75.3	$ 246.0
Two Thousand Seventeen Stock Repurchase Program [Member]
Stock Repurchase Program, Authorized Amount				$ 600.0
Stock Repurchased During Period, Shares	4.7	2.4
Stock Repurchased and Retired During Period, Value	$ 179.8	$ 90.0
Accelerated Share Repurchases, Final Price Paid Per Share	$ 38.51	$ 37.23
Stock Repurchase Program, Remaining Authorized Repurchase Amount	$ 172.4
Two Thousand Seventeen and Two Thousand Fifteen Stock Repurchase Programs [Member]
Stock Repurchased During Period, Shares			7.4
Stock Repurchased and Retired During Period, Value			$ 288.3
Accelerated Share Repurchases, Final Price Paid Per Share			$ 39.18
Maximum [Member] | Two Thousand Fourteen Stock Repurchase Program [Member]
Stock Repurchase Program, Authorized Amount						$ 300.0
Maximum [Member] | Two Thousand Fifteen Stock Repurchase Program [Member]
Stock Repurchase Program, Authorized Amount					$ 400.0