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Indebtedness and Interest Expense - Narrative (Details) - USD ($)
3 Months Ended 6 Months Ended 9 Months Ended
Jul. 01, 2018
Apr. 01, 2018
Jul. 02, 2017
Jul. 01, 2018
Jul. 02, 2017
Oct. 02, 2016
Dec. 31, 2017
Oct. 01, 2017
Debt Instrument [Line Items]                
Long-term Debt, Excluding Current Maturities $ 963,243,000     $ 963,243,000     $ 965,213,000  
Long-term Debt, Gross 982,700,000     982,700,000     986,500,000  
Debt Instrument, Unamortized Discount 3,800,000     $ 3,800,000        
LineofCreditUnusedCapacityDocumentaryandProcessingFee       0.00%        
Revolving Credit Facility [Member] | London Interbank Offered Rate (LIBOR) [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Additional Margin on Basis Spread of Variable Rate               3.25%
Term Loan Facility [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Interest Rate During Period         4.60%      
Letter of Credit [Member]                
Debt Instrument [Line Items]                
Letters of Credit Outstanding, Amount             9,900,000  
The Senior Secured Credit Facilities [Member] | London Interbank Offered Rate (LIBOR) [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Basis Spread on Variable Rate       1.00%        
The Senior Secured Credit Facilities [Member] | Federal Funds Effective Swap Rate [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Basis Spread on Variable Rate       0.50%        
The Senior Secured Credit Facilities [Member] | Adjusted London Interbank Offered Rate (LIBOR) [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Basis Spread on Variable Rate   1.00%            
Senior Notes [Member]                
Debt Instrument [Line Items]                
Payments of Debt Issuance Costs       $ 6,400,000        
SecuredCreditFacilitiesAndSeniorNotes [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Interest Rate During Period       6.30% 5.50%      
Term Loan Facility [Member]                
Debt Instrument [Line Items]                
Long-term Debt, Gross 727,700,000     $ 727,700,000     731,500,000  
Interest Expense, Debt 9,681,000   $ 7,619,000 18,800,000 $ 15,226,000      
Term Loan Facility [Member] | Term Loan Facility Maturing 2021 [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Face Amount $ 760,000,000     760,000,000        
Payments of Debt Issuance Costs       $ 17,800,000        
Federal Funds Rate Minimum       1.34%        
Federal Funds Rate Maximum       1.92%        
Libor Rate Minimum       1.55%        
Libor Rate Maximum       2.10%        
Senior Loans [Member] | The Senior Secured Credit Facilities [Member]                
Debt Instrument [Line Items]                
First-Tier Foreign Subsidiaries, Percentage of Capital Stock Securing Obligations 65.00%     65.00%        
The Senior Secured Credit Facilities [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Interest Rate During Period       5.60%        
Unsecured Debt [Member] | Senior Notes due 2022 [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Interest Rate During Period       8.20%   8.20%    
Revolving Credit Facility [Member] | Senior Debt Obligations [Member] | Senior Secured Revolving Credit Facility, Maturing 2019 [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Face Amount $ 150,000,000     $ 150,000,000        
Revolving Credit Facility [Member] | Senior Debt Obligations [Member] | Senior Secured Revolving Credit Facility, Maturing 2020 [Member] [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Face Amount $ 95,000,000     $ 95,000,000        
Revolving Credit Facility [Member] | Senior Loans [Member] | Swingline Loan Facility, the Revolving Credit Facility [Member]                
Debt Instrument [Line Items]                
Covenant threshold related to percentage of credit facility drawn 30.00%     30.00%        
Debt Instrument, Face Amount $ 30,000,000     $ 30,000,000        
Leverage Ratio 1.00     1.00        
Payments of Debt Issuance Costs       $ 3,800,000        
Debt Instrument, Covenant, Leverage Ratio, Maximum 6.25     6.25        
Letter of Credit [Member] | Senior Debt Obligations [Member] | Letter of Credit Sub-Facility [Member]                
Debt Instrument [Line Items]                
Letters of Credit Outstanding, Amount $ 9,000,000     $ 9,000,000     9,900,000  
Minimum [Member]                
Debt Instrument [Line Items]                
Line of Credit Facility, Unused Capacity, Commitment Fee Percentage       0.00%        
Minimum [Member] | Revolving Credit Facility [Member] | London Interbank Offered Rate (LIBOR) [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Additional Margin on Basis Spread of Variable Rate 2.75%     2.75%        
Minimum [Member] | The Senior Secured Credit Facilities [Member] | London Interbank Offered Rate (LIBOR) [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Additional Margin on Basis Spread of Variable Rate 3.00%     3.00%        
Minimum [Member] | Term Loan Facility [Member] | Term Loan Facility Maturing 2021 [Member] | Prime Rate [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Basis Spread on Variable Rate       4.50%        
Maximum [Member]                
Debt Instrument [Line Items]                
Line of Credit Facility, Unused Capacity, Commitment Fee Percentage       0.00%        
Maximum [Member] | Revolving Credit Facility [Member] | London Interbank Offered Rate (LIBOR) [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Additional Margin on Basis Spread of Variable Rate               3.00%
Maximum [Member] | Term Loan Facility [Member] | Base Rate [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Additional Margin on Basis Spread of Variable Rate 2.25%     2.25%        
Maximum [Member] | The Senior Secured Credit Facilities [Member] | London Interbank Offered Rate (LIBOR) [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Additional Margin on Basis Spread of Variable Rate 3.25%     3.25%       3.25%
Maximum [Member] | Term Loan Facility [Member] | Term Loan Facility Maturing 2021 [Member] | Prime Rate [Member]                
Debt Instrument [Line Items]                
Debt Instrument, Basis Spread on Variable Rate       5.00%        
Carrying Amount [Member]                
Debt Instrument [Line Items]                
Long-term Debt, Excluding Current Maturities [1],[2] $ 973,676,000     $ 973,676,000     $ 977,206,000  
[1] Excluding net deferred financing costs
[2] Net of original issue discount.