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Debt (Additional Information) (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2016
Jan. 02, 2016
Jan. 03, 2015
Debt Instrument [Line Items]      
Gain (Loss) on Extinguishment of Debt $ (17.4) $ (1.6) $ (1.3)
Borrowings under revolving credit agreements and other short-term notes 2.9 0.0  
Amortized deferred financing costs 3.1 3.7 $ 4.2
Maximum [Member]      
Debt Instrument [Line Items]      
Aggregate principal amount of Term Loan Facility $ 1,750.0    
Alternative Base Rate [Member] | Maximum [Member]      
Debt Instrument [Line Items]      
Basis spread on variable rate (percent) 1.00%    
Alternative Base Rate [Member] | Minimum [Member]      
Debt Instrument [Line Items]      
Basis spread on variable rate (percent) 0.25%    
Euro Currency Rate [Member] | Maximum [Member]      
Debt Instrument [Line Items]      
Basis spread on variable rate (percent) 2.00%    
Euro Currency Rate [Member] | Minimum [Member]      
Debt Instrument [Line Items]      
Basis spread on variable rate (percent) 1.25%    
Foreign Currency Subfacility [Member]      
Debt Instrument [Line Items]      
Revolving credit facility amount $ 200.0    
Swingline Subfacility [Member]      
Debt Instrument [Line Items]      
Revolving credit facility amount 50.0    
Letter of Credit Subfacility [Member]      
Debt Instrument [Line Items]      
Revolving credit facility amount 50.0    
Revolving Credit Facility [Member]      
Debt Instrument [Line Items]      
Aggregate principal amount of Term Loan Facility 600.0    
Letters of credit, amount outstanding 2.6 3.8  
Foreign Line of Credit [Member]      
Debt Instrument [Line Items]      
Revolving credit facility amount 9.0    
Borrowings under revolving credit agreements and other short-term notes 1.8 $ 0.0  
July Thirteenth Two Thousand Twenty [Member] | Term Loan A [Member]      
Debt Instrument [Line Items]      
Aggregate principal amount of Term Loan Facility $ 588.8    
Debt, Weighted Average Interest Rate 2.85%    
September First Two Thousand Twenty Six [Member] | Senior Notes [Member]      
Debt Instrument [Line Items]      
Aggregate principal amount of Term Loan Facility $ 250.0    
Interest rate (percent) 5.00%    
October Fifteen Two Thousand Twenty [Member] | Public Bonds [Member]      
Debt Instrument [Line Items]      
Aggregate principal amount of Term Loan Facility $ 375.0    
Early Redemption Premium [Member]      
Debt Instrument [Line Items]      
Gain (Loss) on Extinguishment of Debt $ (13.1)