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Segment Information - Revenues by Geographic Region (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Schedule of Revenues by Geographic Region [Line Items]
Net revenues	$ 2,816,120	$ 2,813,169	$ 2,695,845
United States
Schedule of Revenues by Geographic Region [Line Items]
Net revenues	1,488,413	1,487,416	1,487,144
Other Americas
Schedule of Revenues by Geographic Region [Line Items]
Net revenues	92,859	96,958	85,711
Total Americas
Schedule of Revenues by Geographic Region [Line Items]
Net revenues	1,581,272	1,584,374	1,572,855
EMEA
Schedule of Revenues by Geographic Region [Line Items]
Net revenues	755,934	741,598	634,759
APAC
Schedule of Revenues by Geographic Region [Line Items]
Net revenues	$ 478,914	$ 487,197	$ 488,231

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