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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. 31, 2017
USD ($)
Jan. 01, 2017
USD ($)
Jan. 03, 2016
USD ($)
Feb. 19, 2014
USD ($)
Debt Instrument [Line Items]            
Long-term debt     $ 972,813,000      
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%      
Additional margin on variable rate     3.25%      
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] | Base Rate [Member]            
Debt Instrument [Line Items]            
Additional margin on variable rate     2.25%      
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]            
Effective interest rate during period     5.60% 5.50%    
Term Loan Facility [Member]            
Debt Instrument [Line Items]            
Interest expense [1]     $ 31,549,000 $ 30,987,000 $ 31,760,000  
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      
Debt issuance costs paid $ 3,400,000          
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]            
Effective interest rate during period     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%   8.30%  
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     0.7633%      
Minimum [Member] | Term Loan Facility [Member] | Term Loan Facility Maturing 2021 [Member] | Federal Funds Rate [Member]            
Debt Instrument [Line Items]            
Variable interest rate     0.55%      
Minimum [Member] | Term Loan Facility [Member] | Term Loan Facility Maturing 2021 [Member] | Prime Rate [Member]            
Debt Instrument [Line Items]            
Variable interest rate     3.75%      
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     1.569%      
Maximum [Member] | Term Loan Facility [Member] | Term Loan Facility Maturing 2021 [Member] | Federal Funds Rate [Member]            
Debt Instrument [Line Items]            
Variable interest rate     1.42%      
Maximum [Member] | Term Loan Facility [Member] | Term Loan Facility Maturing 2021 [Member] | Prime Rate [Member]            
Debt Instrument [Line Items]            
Variable interest rate     4.50%      
[1] Includes amortization of original issue discount