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Goodwill and Intangible Assets - Changes in Goodwill (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Goodwill [Roll Forward]
Goodwill, beginning	$ 353,639	$ 292,243
Goodwill attributable to preliminary purchase price adjustments and acquisition activity	55,924	61,396
Goodwill, ending	409,563	353,639
Software and Services
Goodwill [Roll Forward]
Goodwill, beginning	234,553	173,157
Goodwill attributable to preliminary purchase price adjustments and acquisition activity	53,060	61,396
Goodwill, ending	287,613	234,553
Accumulated impairment losses			$ 11,458
Merchant Services
Goodwill [Roll Forward]
Goodwill, beginning	119,086	119,086
Goodwill attributable to preliminary purchase price adjustments and acquisition activity	2,864	0
Goodwill, ending	121,950	119,086
Accumulated impairment losses			0
Other
Goodwill [Roll Forward]
Goodwill, beginning	0	0
Goodwill attributable to preliminary purchase price adjustments and acquisition activity	0	0
Goodwill, ending	$ 0	$ 0
Accumulated impairment losses			$ 0

X

- Definition

Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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Amount of accumulated impairment loss for an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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Amount of increase (decrease) from adjustments after acquisition date under purchase accounting of an asset representing the future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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