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Goodwill and Intangible Assets - Intangible Assets (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Sep. 30, 2019 | Sep. 30, 2018 | Sep. 30, 2017
Finite-Lived Intangible Assets [Line Items] |  |  |
Finite-lived intangible assets, cost | $ 155,056 | $ 103,374 |
Finite-lived intangible assets, accumulated amortization | (47,673) | (37,383) |
Finite-lived intangible assets, carrying value | 107,383 | 65,991 |
Indefinite-lived Intangible Assets |  | 32 |
Total identifiable intangible assets, cost | 155,092 | 103,406 |
Total identifiable intangible assets, carrying value | 107,419 | 66,023 |
Amortization expense of intangible assets | 12,394 | 9,341 | $ 7,669
Trademarks |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Indefinite-lived Intangible Assets | 36 |  |
Merchant relationships |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Finite-lived intangible assets, cost | 142,671 | 94,791 |
Finite-lived intangible assets, accumulated amortization | (43,579) | (34,086) |
Finite-lived intangible assets, carrying value | $ 99,092 | $ 60,705 |
Amortization life | 15 years | 15 years |
Non-compete agreements |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Finite-lived intangible assets, cost | $ 1,770 | $ 1,890 |
Finite-lived intangible assets, accumulated amortization | (619) | (561) |
Finite-lived intangible assets, carrying value | $ 1,151 | $ 1,329 |
Non-compete agreements | Minimum |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Amortization life | 2 years | 2 years |
Non-compete agreements | Maximum |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Amortization life | 5 years | 3 years |
Website development costs |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Finite-lived intangible assets, cost | $ 77 | $ 18 |
Finite-lived intangible assets, accumulated amortization | (22) | (14) |
Finite-lived intangible assets, carrying value | $ 55 | $ 4 |
Amortization life | 3 years | 3 years |
Trade names |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Finite-lived intangible assets, cost | $ 4,292 | $ 3,717 |
Finite-lived intangible assets, accumulated amortization | (1,307) | (1,850) |
Finite-lived intangible assets, carrying value | $ 2,985 | $ 1,867 |
Trade names | Minimum |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Amortization life | 2 years | 2 years |
Trade names | Maximum |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Amortization life | 5 years | 5 years |
Residual buyouts |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Finite-lived intangible assets, cost | $ 5,346 | $ 2,043 |
Finite-lived intangible assets, accumulated amortization | (1,882) | (773) |
Finite-lived intangible assets, carrying value | $ 3,464 | $ 1,270 |
Amortization life | 2 years | 2 years |
Referral and exclusivity |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Finite-lived intangible assets, cost | $ 900 | $ 915 |
Finite-lived intangible assets, accumulated amortization | (264) | (99) |
Finite-lived intangible assets, carrying value | $ 636 | $ 816 |
Referral and exclusivity | Minimum |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Amortization life | 1 year |  |
Referral and exclusivity | Maximum |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Amortization life | 10 years |  |

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