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Indebtedness and Interest Expense - Narrative (Details)
10 Months Ended 12 Months Ended
Feb. 14, 2014
USD ($)
Dec. 28, 2014
USD ($)
Dec. 30, 2018
USD ($)
Dec. 31, 2017
USD ($)
Jan. 01, 2017
USD ($)
Jan. 03, 2016
Feb. 19, 2014
USD ($)
Debt Instrument [Line Items]              
Long-term debt     $ 969,114,000        
The Senior Secured Credit Facilities [Member]              
Debt Instrument [Line Items]              
Line of credit facility additional borrowing capacity requestable       $ 200,000,000.0      
Additional margin on variable rate     3.00%        
Fronting fee percentage     0.125%        
Percentage of capital stock first-tier of foreign subsidiaries securing obligations     65.00%        
The Senior Secured Credit Facilities [Member] | London Interbank Offered Rate (LIBOR) [Member]              
Debt Instrument [Line Items]              
Variable interest rate     1.00%        
The Senior Secured Credit Facilities [Member] | Federal Funds Effective Swap Rate [Member]              
Debt Instrument [Line Items]              
Variable interest rate     0.50%        
The Senior Secured Credit Facilities [Member] | Adjusted London Interbank Offered Rate (LIBOR) [Member]              
Debt Instrument [Line Items]              
Variable interest rate     1.00%        
The Senior Secured Credit Facilities [Member] | Scenario One [Member]              
Debt Instrument [Line Items]              
Maximum leverage ratio required for payment of dividends and stock repurchases 4.25            
The Senior Secured Credit Facilities [Member] | Scenario Two [Member]              
Debt Instrument [Line Items]              
Maximum leverage ratio required for payment of dividends and stock repurchases 5.25            
Secured Credit Facilities, Bridge Loan Facility and Senior Notes [Member]              
Debt Instrument [Line Items]              
Debt Instrument, Interest Rate During Period     6.40% 5.60% 5.50%    
Term Loan Facility [Member]              
Debt Instrument [Line Items]              
Interest expense [1]     $ 39,065,000 $ 31,549,000 $ 30,987,000    
Term Loan Facility [Member] | Term Loan Facility Maturing 2021 [Member]              
Debt Instrument [Line Items]              
Debt instrument face amount $ 760,000,000.0            
Proceeds from issuance of debt net of issuance costs 756,200,000            
Debt issuance discount 3,800,000            
Debt issuance costs paid 17,800,000            
Senior Debt Obligations [Member] | Revolving Credit Facility [Member] | Senior Secured Revolving Credit Facility, Maturing 2019 [Member]              
Debt Instrument [Line Items]              
Debt instrument face amount 150,000,000.0            
Senior Debt Obligations [Member] | Letter of Credit [Member] | Letter of Credit Sub-Facility [Member]              
Debt Instrument [Line Items]              
Letters of credit outstanding       $ 9,900,000      
Senior Loans [Member] | Revolving Credit Facility [Member] | Swingline Loan Facility, the Revolving Credit Facility [Member]              
Debt Instrument [Line Items]              
Debt instrument face amount $ 30,000,000.0            
Credit facility outstanding     $ 0        
Maximum leverage ratio required for payment of dividends and stock repurchases       6.25      
Commitment fee percentage     0.50%        
Covenant threshold related to percentage of credit facility drawn       30.00%      
The Senior Secured Credit Facilities [Member]              
Debt Instrument [Line Items]              
Debt Instrument, Interest Rate During Period     5.80% 4.70% 4.60% 4.60%  
Unsecured Debt [Member] | Senior Notes due 2022 [Member]              
Debt Instrument [Line Items]              
Debt issuance costs paid   $ 6,400,000          
Senior Notes [Member] | Senior Notes due 2022 [Member]              
Debt Instrument [Line Items]              
Debt instrument face amount             $ 255,000,000.0
Debt instrument interest rate (Percentage)             8.00%
Debt, Weighted Average Interest Rate     8.20%        
Minimum [Member] | The Senior Secured Credit Facilities [Member] | London Interbank Offered Rate (LIBOR) [Member]              
Debt Instrument [Line Items]              
Additional margin on variable rate     3.00%        
Minimum [Member] | Term Loan Facility [Member] | Term Loan Facility Maturing 2021 [Member] | London Interbank Offered Rate (LIBOR) [Member]              
Debt Instrument [Line Items]              
Variable interest rate     1.5525%        
Minimum [Member] | Term Loan Facility [Member] | Term Loan Facility Maturing 2021 [Member] | Federal Funds Rate [Member]              
Debt Instrument [Line Items]              
Variable interest rate     1.34%        
Minimum [Member] | Term Loan Facility [Member] | Term Loan Facility Maturing 2021 [Member] | Prime Rate [Member]              
Debt Instrument [Line Items]              
Variable interest rate     4.50%        
Maximum [Member] | The Senior Secured Credit Facilities [Member] | London Interbank Offered Rate (LIBOR) [Member]              
Debt Instrument [Line Items]              
Additional margin on variable rate     2.75%        
Maximum [Member] | Term Loan Facility [Member] | Term Loan Facility Maturing 2021 [Member] | London Interbank Offered Rate (LIBOR) [Member]              
Debt Instrument [Line Items]              
Variable interest rate     2.52238%        
Maximum [Member] | Term Loan Facility [Member] | Term Loan Facility Maturing 2021 [Member] | Federal Funds Rate [Member]              
Debt Instrument [Line Items]              
Variable interest rate     2.40%        
Maximum [Member] | Term Loan Facility [Member] | Term Loan Facility Maturing 2021 [Member] | Prime Rate [Member]              
Debt Instrument [Line Items]              
Variable interest rate     5.50%        
[1] Includes amortization of original issue discount