Common Stock Repurchase (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	12 Months Ended
	Dec. 29, 2017		Dec. 30, 2016	Jan. 01, 2016	Nov. 30, 2017	Sep. 30, 2015	Aug. 31, 2015	Aug. 31, 2014
Stock Repurchased and Retired During Period, Value	$ 288.3		$ 119.5	$ 234.4
Stock Repurchase Program, Remaining Authorized Repurchase Amount	442.2
Retained Earnings [Member]
Stock Repurchased and Retired During Period, Value	$ 246.0		94.7	180.3
Two Thousand Fourteen Stock Repurchase Program [Member]
Stock Repurchase Program, Authorized Amount								$ 300.0
Stock Repurchased and Retired During Period, Value				84.3
Two Thousand Fifteen Stock Repurchase Program [Member]
Stock Repurchase Program, Authorized Amount							$ 400.0
Stock Repurchased and Retired During Period, Value			$ 119.5	$ 75.1
Two Thousand Seventeen Stock Repurchase Program [Member]
Stock Repurchase Program, Authorized Amount					$ 600.0
Open Market Purchases [Member]
Stock Repurchased During Period, Shares	7.4		4.9	7.5
Stock Repurchased And Retired During Period Shares Average Cost Per Share	$ 39.18		$ 24.39	$ 21.29
Stock Repurchased and Retired During Period, Value				$ 159.4
September 2015 Share Delivery [Member]
Stock Repurchased During Period, Shares				3.7
Accelerated Share Repurchases, Settlement (Payment) or Receipt						$ 75.0
Accelerated Share Repurchases, Final Price Paid Per Share				$ 20.11
Restricted Stock Units (RSUs) [Member]
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value	$ 40.19	[1]	$ 26.13	$ 23.22

[1] During fiscal year 2017, the Company granted approximately 1.3 million time-based RSUs, 0.5 million performance-based RSUs and 0.2 million market-based RSUs. As of fiscal year end 2017, the Company has 1.7 million market-based and performance-based RSUs outstanding and none had vested as of fiscal 2017 year end.