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Debt (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Sep. 29, 2017
Aug. 23, 2017
Aug. 14, 2017
Jul. 20, 2017
Jul. 13, 2017
Jun. 20, 2017
Jun. 16, 2017
Jun. 15, 2017
Apr. 07, 2017
Mar. 13, 2017
Mar. 10, 2017
Mar. 09, 2017
Feb. 24, 2017
Jan. 31, 2017
Jan. 25, 2017
Jan. 20, 2017
Debt                                      
Restricted cash $ 94,140 $ 50,294                                  
Debt, Unamortized Deferred Financing Costs (40,636) (19,999)                                  
Adjustment to Purchase Price of Debt (27,516) (42,216)                                  
Debt and Capital Lease Obligations, net of deferred financing costs 6,911,725 6,353,449                                  
Debt outstanding on facilities with fixed interest rates $ 4,277,500                                    
Debt Instrument Interest Rate During Period Fixed Rate Debt 4.28%                                    
Long Term Debt, Percentage Bearing Fixed Interest Rate Remaining Term 4 years 3 months                                    
Debt outstanding on facilities with interest rates based on floating rate indices $ 2,702,400                                    
Debt Instrument Interest Rate During Period Variable Rate Debt 3.53%                                    
Long Term Debt, Percentage Bearing Variable Interest Rate Remaining Term 3 years                                    
Net Notional Amount of Interest Rate Swaps                             $ 400,000        
Percentage of Debt Hedged by Interest Rate Derivatives 86.20%                                    
Debt Instrument Interest Rate During Period Fixed Rate and Interest Swap Rate Debt 4.35%                                    
Hedged Portion of Debt Average Remaining Maturity 4 years                                    
Debt maturities (excluding capital lease obligations)                                      
2018 $ 715,385                                    
2019 1,166,760                                    
2020 998,683                                    
2021 840,283                                    
2022 1,465,378                                    
2023 and thereafter 1,689,979                                    
Total 6,876,468                                    
Future lease payments under these capital leases                                      
2018 31,954                                    
2019 11,210                                    
2020 10,766                                    
2021 10,766                                    
2022 10,766                                    
2023 and thereafter 42,658                                    
Total future payments 118,120                                    
Less: amount representing interest (14,711)                                    
Capital lease obligations 103,409                                    
Write-off of debt costs $ 6,973 141 $ 1,170                                
Debt Instrument, Interest Rate During Period 4.03%                                    
Interest Rate Swap [Member]                                      
Debt                                      
Net Notional Amount of Interest Rate Swaps $ 1,740,800                                    
Interest Rate Swaps Average Remaining Maturity 3 years 3 months                                    
Interest Rate Swaps Derivative Average Fixed Pay Interest Rate 1.70%                                    
Term Notes [Member]                                      
Debt                                      
Debt, net of unamortized debt costs 3.50%                                    
Institutional Notes [Domain]                                      
Debt                                      
Debt and Capital Lease Obligations $ 2,381,000 2,233,874           $ 250,000                      
Debt, net of unamortized debt costs 4.77%                                    
Asset-backed securitization term notes                                      
Debt                                      
Debt and Capital Lease Obligations $ 2,378,470 1,384,235     $ 450,000           $ 319,000 $ 281,000              
Debt, net of unamortized debt costs 3.62%                                    
Term loan facilities                                      
Debt                                      
Debt and Capital Lease Obligations $ 1,701,998 1,332,030                                  
Asset-backed warehouse facilities                                      
Debt                                      
Debt and Capital Lease Obligations 110,000 660,000                                  
Borrowing capacity $ 600,000                                    
Debt Instrument, Advance Rate Used in Calculating Borrowing Capacity 80.00%                                    
Revolving credit facilities                                      
Debt                                      
Debt and Capital Lease Obligations $ 305,000 708,750                                  
Debt, net of unamortized debt costs 3.67%                                    
Borrowing capacity $ 1,075,000                                    
Debt Instrument, Advance Rate Used in Calculating Borrowing Capacity 83.00%                                    
Capital lease obligations                                      
Debt                                      
Debt and Capital Lease Obligations $ 103,409 $ 96,775                             $ 35,000    
Interest Rate Swap [Member]                                      
Debt                                      
Debt and Capital Lease Obligations $ 6,018,300                                    
Debt Instrument Interest Rate During Period Variable Rate Debt 3.64%                                    
Minimum [Member]                                      
Future lease payments under these capital leases                                      
CapitalLeasePeriodOverWhichInterestExpenseRecognizedPrecedingEarlyPurchaseOption 3 years                                    
Minimum [Member] | Term Notes [Member]                                      
Debt                                      
Debt Instrument, Advance Rate Used in Calculating Borrowing Capacity 80.00%                                    
Minimum [Member] | Institutional Notes [Domain]                                      
Debt                                      
Debt Instrument, Advance Rate Used in Calculating Borrowing Capacity 83.00%                                    
Minimum [Member] | Asset-backed securitization term notes                                      
Debt                                      
Debt Instrument, Advance Rate Used in Calculating Borrowing Capacity 77.00%                                    
Minimum [Member] | Capital lease obligations                                      
Debt                                      
Debt, net of unamortized debt costs 3.26%                                    
Maximum [Member]                                      
Future lease payments under these capital leases                                      
CapitalLeasePeriodOverWhichInterestExpenseRecognizedPrecedingEarlyPurchaseOption 10 years                                    
Maximum [Member] | Term Notes [Member]                                      
Debt                                      
Debt Instrument, Advance Rate Used in Calculating Borrowing Capacity 83.00%                                    
Maximum [Member] | Institutional Notes [Domain]                                      
Debt                                      
Debt Instrument, Advance Rate Used in Calculating Borrowing Capacity 85.00%                                    
Maximum [Member] | Asset-backed securitization term notes                                      
Debt                                      
Debt Instrument, Advance Rate Used in Calculating Borrowing Capacity 87.00%                                    
Maximum [Member] | Capital lease obligations                                      
Debt                                      
Debt, net of unamortized debt costs 4.93%                                    
TAL Finance III [Member] | Asset-backed securitization term notes                                      
Debt                                      
Debt and Capital Lease Obligations       $ 540,000                              
TAL III Warehouse Facility [Member] | Term loan facilities                                      
Debt                                      
Debt and Capital Lease Obligations       750,000                              
TAL Finance III Warehouse Facility [Member] | Term loan facilities                                      
Debt                                      
Debt and Capital Lease Obligations       $ 400,000                              
TCIL BofA Revolver [Domain] | Revolving credit facilities                                      
Debt                                      
Debt and Capital Lease Obligations                   $ 600,000                  
Term Loan Facility [Member] | ABN [Domain] | Term loan facilities                                      
Debt                                      
Debt and Capital Lease Obligations                                     $ 50,000
Term Loan Facility [Member] | DVB [Domain] | Term loan facilities                                      
Debt                                      
Debt and Capital Lease Obligations                         $ 25,000         $ 50,000  
Term Loan Facility [Member] | TCIL CB&T Term [Domain] | Term loan facilities                                      
Debt                                      
Debt and Capital Lease Obligations                               $ 19,000      
Term Loan Facility [Member] | TAL BoA Term [Domain] | Term loan facilities                                      
Debt                                      
Debt and Capital Lease Obligations                   260,000                  
Term Loan Facility [Member] | ING [Domain] | Term loan facilities                                      
Debt                                      
Debt and Capital Lease Obligations                 $ 50,000                    
Term Loan Facility [Member] | Combined TCF V Asset Backed Warehouse Facility [Member] | Term loan facilities                                      
Debt                                      
Debt and Capital Lease Obligations                           $ 400,000          
Term Loan Facility [Member] | First TCF V Asset Backed Warehouse Facility [Domain] | Term loan facilities                                      
Debt                                      
Debt and Capital Lease Obligations                           200,000          
Term Loan Facility [Member] | Second TCF V Asset Backed Warehouse Facility [Member] | Term loan facilities                                      
Debt                                      
Debt and Capital Lease Obligations                           $ 200,000          
TCF III [Domain] | Asset-backed securitization term notes                                      
Debt                                      
Debt and Capital Lease Obligations           $ 257,000                          
TCF II [Domain] | Asset-backed securitization term notes                                      
Debt                                      
Debt and Capital Lease Obligations             $ 80,000                        
BofA [Member] | Revolving credit facilities                                      
Debt                                      
Debt and Capital Lease Obligations                   450,000                  
Restructured Amount [Domain] | TCIL BofA Revolver [Domain] | Revolving credit facilities                                      
Debt                                      
Debt and Capital Lease Obligations                   $ 1,025,000                  
Contractual [Member] | TAL Finance III [Member] | Asset-backed securitization term notes                                      
Debt                                      
Debt, net of unamortized debt costs       2.15%                              
Contractual [Member] | ABN [Domain] | Term Loan Facility [Member]                                      
Debt                                      
Debt, net of unamortized debt costs                                     2.35%
Contractual [Member] | DVB [Domain] | Term Loan Facility [Member]                                      
Debt                                      
Debt, net of unamortized debt costs                         2.50%         2.50%  
Contractual [Member] | TCIL CB&T Term [Domain] | Term Loan Facility [Member]                                      
Debt                                      
Debt, net of unamortized debt costs                               2.25%      
Contractual [Member] | TAL BoA Term [Domain] | Term Loan Facility [Member]                                      
Debt                                      
Debt, net of unamortized debt costs                   2.25%                  
Contractual [Member] | ING [Domain] | Term Loan Facility [Member]                                      
Debt                                      
Debt, net of unamortized debt costs                 2.25%                    
Contractual [Member] | First TCF V Asset Backed Warehouse Facility [Domain] | Minimum [Member] | Revolving Credit Facility [Member]                                      
Debt                                      
Debt, net of unamortized debt costs                           2.25%          
Contractual [Member] | First TCF V Asset Backed Warehouse Facility [Domain] | Maximum [Member] | Revolving Credit Facility [Member]                                      
Debt                                      
Debt, net of unamortized debt costs                           3.25%          
Contractual [Member] | TAL Finance III Warehouse Facility [Member] | Minimum [Member] | Revolving Credit Facility [Member]                                      
Debt                                      
Debt, net of unamortized debt costs       1.85%                              
Contractual [Member] | TAL Finance III Warehouse Facility [Member] | Maximum [Member] | Revolving Credit Facility [Member]                                      
Debt                                      
Debt, net of unamortized debt costs       2.85%                              
Contractual [Member] | TCIL BofA Revolver [Domain] | Revolving credit facilities                                      
Debt                                      
Debt, net of unamortized debt costs                 2.00%                    
Contractual [Member] | Asset-backed securitization term notes                                      
Debt                                      
Debt, net of unamortized debt costs         3.66%           3.57% 4.50%              
Contractual [Member] | 4.35% A-1 Notes [Member] | Institutional Notes [Domain]                                      
Debt                                      
Debt and Capital Lease Obligations               $ 105,000                      
Debt, net of unamortized debt costs               4.35%                      
Contractual [Member] | 4.64% A-2 Notes [Member] | Institutional Notes [Domain]                                      
Debt                                      
Debt and Capital Lease Obligations               $ 145,000                      
Debt, net of unamortized debt costs               4.64%