Goodwill and Other Intangible Assets (Tables)

3 Months Ended

Mar. 31, 2018

Goodwill and Intangible Assets Disclosure [Abstract]

Schedule of Indefinite-Lived Intangible Assets

The following table sets forth the gross carrying amounts and accumulated amortization of the Company’s other intangible assets as of March 31, 2018 and December 31, 2017:



	March 31, 2018					December 31, 2017
(in thousands)	Gross Carrying Amount		Accumulated Amortization			Gross Carrying Amount		Accumulated Amortization
Definite-lived intangible assets:
Contracts and related customer relationships	$	6,908,491	$	(2,008,075	)	$	6,748,355	$	(1,749,327	)
Dealer relationships	1,603,700		(167,404		)	1,605,910		(146,299		)
Other	197,588		(151,747		)	195,363		(130,227		)
Total amortizable intangible assets	8,709,779		(2,327,226		)	8,549,628		(2,025,853		)
Indefinite-lived intangible assets:
Trade name	1,333,000		—			1,333,000		—
Total intangible assets	$	10,042,779	$	(2,327,226	)	$	9,882,628	$	(2,025,853	)

Schedule of Finite-Lived Intangible Assets

The following table sets forth the gross carrying amounts and accumulated amortization of the Company’s other intangible assets as of March 31, 2018 and December 31, 2017:



	March 31, 2018					December 31, 2017
(in thousands)	Gross Carrying Amount		Accumulated Amortization			Gross Carrying Amount		Accumulated Amortization
Definite-lived intangible assets:
Contracts and related customer relationships	$	6,908,491	$	(2,008,075	)	$	6,748,355	$	(1,749,327	)
Dealer relationships	1,603,700		(167,404		)	1,605,910		(146,299		)
Other	197,588		(151,747		)	195,363		(130,227		)
Total amortizable intangible assets	8,709,779		(2,327,226		)	8,549,628		(2,025,853		)
Indefinite-lived intangible assets:
Trade name	1,333,000		—			1,333,000		—
Total intangible assets	$	10,042,779	$	(2,327,226	)	$	9,882,628	$	(2,025,853	)

For the three months ended March 31, 2018, the changes in the net carrying amount of customer contracts acquired and customer relationships were as follows:



(in thousands)
Balance as of December 31, 2017	$	4,999,028
Acquisition of customer relationships	13,394
Customer contract additions, net of dealer charge-backs	160,065
Amortization	(261,114		)
Currency translation and other	(10,957		)
Balance as of March 31, 2018	$	4,900,416

Finite-lived Intangible Assets Amortization Expense

Amortization expense for definite-lived intangible assets for the periods presented was as follows:



	For the Three Months Ended
(in thousands)	March 31, 2018		March 31, 2017
Definite-lived intangible asset amortization expense	$	303,977	$	288,293

Schedule of Finite-Lived Intangible Assets, Future Amortization Expense

The estimated aggregate amortization expense for definite-lived intangible assets is expected to be as follows:



(in thousands)
Remainder of 2018	$	862,245
2019	$	1,079,054
2020	$	1,037,013
2021	$	944,550
2022	$	605,323
2023	$	256,004