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Revenue from Contracts with Customers - Revenue By Geographic Segment (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2025 | Sep. 30, 2024 | Sep. 30, 2023
Segment Reporting Revenue Reconciling Item [Line Items] |  |  |  |
Total revenue |  | $ 2,739,226 | $ 2,298,472 | $ 2,097,053
Operating Segments |  |  |  |
Segment Reporting Revenue Reconciling Item [Line Items] |  |  |  |
Total revenue |  | 2,739,226 | 2,298,472 | 2,097,053
Americas | Operating Segments |  |  |  |
Segment Reporting Revenue Reconciling Item [Line Items] |  |  |  |
Total revenue | [1] | 1,327,229 | 1,087,929 | 1,023,273
Europe | Operating Segments |  |  |  |
Segment Reporting Revenue Reconciling Item [Line Items] |  |  |  |
Total revenue | [2] | 995,094 | 859,387 | 753,796
Asia Pacific | Operating Segments |  |  |  |
Segment Reporting Revenue Reconciling Item [Line Items] |  |  |  |
Total revenue |  | $ 416,903 | $ 351,156 | $ 319,984
[1] | Includes revenue in the United States totaling $1,287.5 million, $1,057.3 million, and $993.8 million for 2025, 2024 and 2023, respectively.
[2] | Includes revenue in Germany totaling $368.8 million, $330.5 million, and $292.0 million for 2025, 2024 and 2023, respectively.

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