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Common Stock Repurchase (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Jan. 01, 2016
Jan. 02, 2015
Jan. 03, 2014
Stock Repurchased During Period, Shares     0
Stock Repurchased and Retired During Period, Value $ 234.4 $ 97.8  
Stock Repurchase Program, Remaining Authorized Repurchase Amount 249.9    
Retained Earnings [Member]      
Stock Repurchased and Retired During Period, Value 180.3 83.0  
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 $ 75.1    
Open Market Purchases [Member]      
Stock Repurchased During Period, Shares 7,500,000 3,200,000  
Stock Repurchased And Retired During Period Shares Average Cost Per Share $ 21.29 $ 30.22  
Stock Repurchased and Retired During Period, Value $ 159.4 $ 97.8  
September 2015 Share Delivery [Member]      
Stock Repurchased During Period, Shares 3,700,000    
Accelerated Share Repurchases, Settlement (Payment) or Receipt $ 75.0    
Accelerated Share Repurchases, Final Price Paid Per Share $ 20.11