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Goodwill and Other Intangible Assets (Tables) | 6 Months Ended
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Jun. 30, 2019
Goodwill and Intangible Assets Disclosure [Abstract] |
Schedule of Indefinite-Lived Intangible Assets | The gross carrying amounts, accumulated amortization, and net carrying amounts of the Company’s other intangible assets as of June 30, 2019 and December 31, 2018 were as follows:
| June 30, 2019 |  | December 31, 2018
(in thousands) | Gross Carrying Amount |  | Accumulated Amortization |  | Net Carrying Amount |  | Gross Carrying Amount |  | Accumulated Amortization |  | Net Carrying Amount
Definite-lived intangible assets: |  |  |  |  |  |  |  |  |  |  |
Contracts and related customer relationships | $ | 7,924,412 |  |  | $ | (3,393,202 | ) |  | $ | 4,531,210 |  |  | $ | 7,568,456 |  |  | $ | (2,816,079 | ) |  | $ | 4,752,377 |
Dealer relationships | 1,602,573 |  |  | (273,420 | ) |  | 1,329,153 |  |  | 1,598,916 |  |  | (230,511 | ) |  | 1,368,405 |
Other | 215,663 |  |  | (183,052 | ) |  | 32,611 |  |  | 210,802 |  |  | (176,390 | ) |  | 34,412 |
Total definite-lived intangible assets | 9,742,648 |  |  | (3,849,674 | ) |  | 5,892,974 |  |  | 9,378,174 |  |  | (3,222,980 | ) |  | 6,155,194 |
Indefinite-lived intangible assets: |  |  |  |  |  |  |  |  |  |  |
Trade name | 1,333,000 |  |  | — |  |  | 1,333,000 |  |  | 1,333,000 |  |  | — |  |  | 1,333,000 |
Intangible assets | $ | 11,075,648 |  |  | $ | (3,849,674 | ) |  | $ | 7,225,974 |  |  | $ | 10,711,174 |  |  | $ | (3,222,980 | ) |  | $ | 7,488,194 |
Schedule of Finite-Lived Intangible Assets | The gross carrying amounts, accumulated amortization, and net carrying amounts of the Company’s other intangible assets as of June 30, 2019 and December 31, 2018 were as follows:
| June 30, 2019 |  | December 31, 2018
(in thousands) | Gross Carrying Amount |  | Accumulated Amortization |  | Net Carrying Amount |  | Gross Carrying Amount |  | Accumulated Amortization |  | Net Carrying Amount
Definite-lived intangible assets: |  |  |  |  |  |  |  |  |  |  |
Contracts and related customer relationships | $ | 7,924,412 |  |  | $ | (3,393,202 | ) |  | $ | 4,531,210 |  |  | $ | 7,568,456 |  |  | $ | (2,816,079 | ) |  | $ | 4,752,377 |
Dealer relationships | 1,602,573 |  |  | (273,420 | ) |  | 1,329,153 |  |  | 1,598,916 |  |  | (230,511 | ) |  | 1,368,405 |
Other | 215,663 |  |  | (183,052 | ) |  | 32,611 |  |  | 210,802 |  |  | (176,390 | ) |  | 34,412 |
Total definite-lived intangible assets | 9,742,648 |  |  | (3,849,674 | ) |  | 5,892,974 |  |  | 9,378,174 |  |  | (3,222,980 | ) |  | 6,155,194 |
Indefinite-lived intangible assets: |  |  |  |  |  |  |  |  |  |  |
Trade name | 1,333,000 |  |  | — |  |  | 1,333,000 |  |  | 1,333,000 |  |  | — |  |  | 1,333,000 |
Intangible assets | $ | 11,075,648 |  |  | $ | (3,849,674 | ) |  | $ | 7,225,974 |  |  | $ | 10,711,174 |  |  | $ | (3,222,980 | ) |  | $ | 7,488,194 |
For the six months ended June 30, 2019, the changes in the net carrying amount of contracts and related customer relationships were as follows:
(in thousands) |
Beginning balance | $ | 4,752,377 |
Acquisition of customer relationships | 27,678 |
Customer contract additions, net of dealer charge-backs | 334,113 |
Amortization | (570,927 | )
Currency translation and other | (12,031 | )
Ending balance | $ | 4,531,210 |
Finite-lived Intangible Assets Amortization Expense | Amortization expense for definite-lived intangible assets for the periods presented was as follows:
|  | For the Quarters Ended |  | For the Six Months Ended
(in thousands) |  | June 30, 2019 |  | June 30, 2018 |  | June 30, 2019 |  | June 30, 2018
Definite-lived intangible asset amortization expense |  | $ | 311,221 |  |  | $ | 308,721 |  |  | $ | 617,528 |  |  | $ | 612,698 |

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