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Goodwill and Intangible Assets (Tables)
 12 Months Ended
Sep. 30, 2023
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Changes in Carrying Amount of Goodwill Changes in the carrying amount of goodwill are as follows:
Software and ServicesMerchant ServicesOtherTotal
Balance at September 30, 2021 (net of accumulated impairment losses of $11,458, $0 and $0, respectively)
$173,157 $119,086 $— $292,243 
Goodwill attributable to preliminary purchase price adjustments and acquisition activity during the year ended September 30, 202261,396 — — 61,396 
Balance at September 30, 2022234,553 119,086 — 353,639 
Goodwill attributable to preliminary purchase price adjustments and acquisition activity during the year ended September 30, 202353,060 2,864 — 55,924 
Balance at September 30, 2023$287,613 $121,950 $— $409,563 
Schedule of Finite-Lived Intangible Assets Intangible assets consisted of the following as of September 30, 2023:
Cost
Accumulated
Amortization
Carrying
Value
Amortization Life and Method
Finite-lived intangible assets:
Customer relationships$310,501 $(98,182)$212,319 
9 to 25 years – accelerated or straight-line
Non-compete agreements1,300 (1,059)241 
3 to 6 years – straight-line
Website and brand development costs44 (37)7 
3 to 4 years – straight-line
Trade names6,531 (3,690)2,841 
3 to 7 years – straight-line
Residual buyouts14,220 (3,111)11,109 
8 years – straight-line
Referral and exclusivity agreements609 (217)392 
5 years – straight-line
Total finite-lived intangible assets333,205 (106,296)226,909 
Indefinite-lived intangible assets:
Trademarks43 — 43 
Total identifiable intangible assets$333,248 $(106,296)$226,952 
Intangible assets consisted of the following as of September 30, 2022:
CostAccumulated AmortizationCarrying ValueAmortization Life and Method
Finite-lived intangible assets:
Customer relationships$268,301 $(80,681)$187,620 
10 to 25 years – accelerated or straight-line
Non-compete agreements1,190 (705)485 
3 to 6 years – straight-line
Website development costs268 (159)109 
3 to 4 years – straight-line
Trade names7,771 (4,203)3,568 
3 to 7 years – straight-line
Residual buyouts6,169 (2,141)4,028 
8 years – straight-line
Referral and exclusivity agreements800 (733)67 
5 years – straight-line
Total finite-lived intangible assets284,499 (88,622)195,877 
Indefinite-lived intangible assets:
Trademarks42 — 42 
Total identifiable intangible assets$284,541 $(88,622)$195,919 
Schedule of Indefinite-Lived Intangible Assets Intangible assets consisted of the following as of September 30, 2023:
Cost
Accumulated
Amortization
Carrying
Value
Amortization Life and Method
Finite-lived intangible assets:
Customer relationships$310,501 $(98,182)$212,319 
9 to 25 years – accelerated or straight-line
Non-compete agreements1,300 (1,059)241 
3 to 6 years – straight-line
Website and brand development costs44 (37)7 
3 to 4 years – straight-line
Trade names6,531 (3,690)2,841 
3 to 7 years – straight-line
Residual buyouts14,220 (3,111)11,109 
8 years – straight-line
Referral and exclusivity agreements609 (217)392 
5 years – straight-line
Total finite-lived intangible assets333,205 (106,296)226,909 
Indefinite-lived intangible assets:
Trademarks43 — 43 
Total identifiable intangible assets$333,248 $(106,296)$226,952 
Intangible assets consisted of the following as of September 30, 2022:
CostAccumulated AmortizationCarrying ValueAmortization Life and Method
Finite-lived intangible assets:
Customer relationships$268,301 $(80,681)$187,620 
10 to 25 years – accelerated or straight-line
Non-compete agreements1,190 (705)485 
3 to 6 years – straight-line
Website development costs268 (159)109 
3 to 4 years – straight-line
Trade names7,771 (4,203)3,568 
3 to 7 years – straight-line
Residual buyouts6,169 (2,141)4,028 
8 years – straight-line
Referral and exclusivity agreements800 (733)67 
5 years – straight-line
Total finite-lived intangible assets284,499 (88,622)195,877 
Indefinite-lived intangible assets:
Trademarks42 — 42 
Total identifiable intangible assets$284,541 $(88,622)$195,919 
Schedule of Future Amortization Expense of Finite-lived Intangible Assets Based on gross carrying amounts at September 30, 2023, the Company's estimate of future amortization expense for intangible assets are presented in this table as follows for each fiscal year ending September 30:
2024$20,506 
202520,215 
202619,743 
202719,123 
202818,540 
Thereafter128,782 
$226,909