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Long-Term Debt (Narrative) (Details)
$ in Millions
12 Months Ended
Nov. 24, 2014
USD ($)
Oct. 30, 2014
Jan. 01, 2016
USD ($)
Jan. 02, 2015
USD ($)
Jan. 03, 2014
USD ($)
Debt Instrument [Line Items]          
Proceeds from Issuance of Debt     $ 555.0 $ 876.2 $ 407.7
Long-term Debt     729.7 735.4  
Repayments of Debt     555.2 900.1 $ 567.3
Long-term Debt, Excluding Current Maturities     $ 611.4 671.0  
Debt Instrument, Redemption, Prior to Sept 1, 2024 [Member] | US Treasury Rate [Member] | Maximum [Member]          
Debt Instrument [Line Items]          
Credit facility interest margin on stated base rate     0.40%    
Promissory Notes And Other [Member]          
Debt Instrument [Line Items]          
Long-term Debt     $ 1.2 7.5  
Promissory Notes And Other [Member] | Long-term Debt [Member]          
Debt Instrument [Line Items]          
Long-term Debt, Excluding Current Maturities     0.9 0.1  
Uncommitted Facilities [Member]          
Debt Instrument [Line Items]          
Long-term Debt     118.0 57.0  
Uncommitted Facilities [Member] | Revolving Credit Facility [Member]          
Debt Instrument [Line Items]          
Line of Credit Facility, Current Borrowing Capacity     $ 75.0    
Credit facility interest margin on stated base rate     1.00%    
Number Of Revolving Loan Facilities     2    
Short-term Debt     $ 118.0 $ 57.0  
Short-term Debt, Weighted Average Interest Rate     1.37% 1.15%  
Senior Notes 4.75% December 2024 [Member] | Debt Instrument, Redemption, Prior to Sept 1, 2024 [Member] | Maximum [Member]          
Debt Instrument [Line Items]          
Debt Instrument, Redemption Price, Percentage     100.00%    
Senior Notes 4.75% December 2024 [Member] | Debt Instrument, Redemption, After Sept 1, 2024 [Member]          
Debt Instrument [Line Items]          
Debt Instrument, Redemption Price, Percentage     100.00%    
Senior Notes 4.75% December 2024 [Member] | Change of Control Period [Member]          
Debt Instrument [Line Items]          
Debt Instrument, Redemption Price, Percentage     101.00%    
Senior Notes 4.75% December 2024 [Member] | Senior Notes [Member]          
Debt Instrument [Line Items]          
Notes Shelf Registration date   Oct. 30, 2014      
Debt Instrument, Issuance Date Nov. 24, 2014        
Debt Instrument, Face Amount $ 400.0        
Proceeds from Issuance of Debt       $ 396.9  
Discount on Notes Offering Price, Percentage       0.795%  
Debt Issuance Cost       $ 3.0  
Underwriting discount       2.6  
Debt Instrument, Maturity Date     Dec. 01, 2024    
Debt Instrument, Interest Rate, Stated Percentage     4.75%    
2012 Credit Facility [Member] | Revolving Credit Facility [Member]          
Debt Instrument [Line Items]          
Credit facility term period, years 5 years        
Line of Credit Facility, Current Borrowing Capacity $ 700.0        
2012 Credit Facility [Member] | Term Loan [Member]          
Debt Instrument [Line Items]          
Credit facility term period, years 5 years        
Line of Credit Facility, Current Borrowing Capacity $ 700.0        
Repayments of Debt       638.8  
2014 Credit Facility [Member]          
Debt Instrument [Line Items]          
Line of Credit Facility, Initiation Date     Nov. 24, 2014    
Credit facility term period, years 5 years        
Recognition of Debt Issuance Costs       1.6  
Unsecured revolving credit facility, expiration date     Nov. 24, 2019    
Covenant Ratio - Minimum Interest Coverage     3.50    
Covenant Ratio - Maximum Leverage     3.00    
Covenant Ratio Increase upon acquisition     0.50    
Debt Instrument, Covenant Compliance     The Company was in compliance with these covenants at the end of fiscal 2015.    
2014 Credit Facility [Member] | Reserve-Adjusted Fixed Per Annum Rate [Member] | Minimum [Member]          
Debt Instrument [Line Items]          
Credit facility interest margin on stated base rate     1.00%    
2014 Credit Facility [Member] | Reserve-Adjusted Fixed Per Annum Rate [Member] | Maximum [Member]          
Debt Instrument [Line Items]          
Credit facility interest margin on stated base rate     1.75%    
2014 Credit Facility [Member] | Federal Funds Effective Swap Rate [Member]          
Debt Instrument [Line Items]          
Credit facility interest margin on stated base rate     0.50%    
2014 Credit Facility [Member] | Reserve Adjusted One Month LIBOR [Member]          
Debt Instrument [Line Items]          
Credit Facility Incremental Fixed Margin Rate     1.00%    
2014 Credit Facility [Member] | Reserve Adjusted One Month LIBOR [Member] | Minimum [Member]          
Debt Instrument [Line Items]          
Credit facility interest margin on stated base rate     0.00%    
2014 Credit Facility [Member] | Reserve Adjusted One Month LIBOR [Member] | Maximum [Member]          
Debt Instrument [Line Items]          
Credit facility interest margin on stated base rate     0.75%    
2014 Credit Facility [Member] | Revolving Credit Facility [Member] | Minimum [Member]          
Debt Instrument [Line Items]          
Line of Credit Facility, Unused Capacity, Commitment Fee Percentage     0.10%    
2014 Credit Facility [Member] | Revolving Credit Facility [Member] | Maximum [Member]          
Debt Instrument [Line Items]          
Line of Credit Facility, Unused Capacity, Commitment Fee Percentage     0.30%    
2014 Credit Facility [Member] | Term Loan [Member] | Revolving Credit Facility [Member] | Maximum [Member]          
Debt Instrument [Line Items]          
Unsecured Revolving Credit Facility Additional Borrowing Capacity     $ 500.0    
2014 Credit Facility [Member] | Revolving Credit Facility [Member]          
Debt Instrument [Line Items]          
Long-term Debt     $ 216.0 $ 277.0  
Long-term Debt, Weighted Average Interest Rate     1.46% 1.42%  
2014 Credit Facility [Member] | Unsecured Debt [Member] | Revolving Credit Facility [Member]          
Debt Instrument [Line Items]          
Line of Credit Facility, Current Borrowing Capacity     $ 1,000.0    
Proceeds from Lines of Credit       $ 307.0  
Term Loan [Member] | Nonoperating Income (Expense) [Member] | 2012 Credit Facility [Member] | Term Loan [Member]          
Debt Instrument [Line Items]          
Write off of unamortized debt issuance costs       $ 2.7