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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