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Goodwill and Other Intangible Assets - Changes in Net Carrying Amount of Contracts and Related Customer Relationships (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended
--- | --- | ---
Jun. 30, 2019 | Jun. 30, 2018 | Jun. 30, 2019 | Jun. 30, 2018
Finite-lived Intangible Assets [Roll Forward] |  |  |  |
Balance as of beginning of period |  |  | $ 6,155,194 |
Amortization | $ (311,221) | $ (308,721) | (617,528) | $ (612,698)
Balance as of end of period | 5,892,974 |  | 5,892,974 |
Customer-Related Intangible Assets |  |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |  |
Balance as of beginning of period |  |  | 4,752,377 |
Amortization |  |  | (570,927) |
Currency translation and other |  |  | (12,031) |
Balance as of end of period | $ 4,531,210 |  | 4,531,210 |
Customer Relationships |  |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |  |
Customer contract additions, net of dealer charge-backs |  |  | 27,678 |
Contract-Based Intangible Assets |  |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |  |
Customer contract additions, net of dealer charge-backs |  |  | $ 334,113 |

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- Definition The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=109223946&loc=d3e3602-108585 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(2) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 45 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=6388964&loc=d3e16225-109274 + Details
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- Definition Amount after amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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