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Business Combinations - Purchase Consideration (Details) $ in Thousands, € in Millions |  |  |  |  |  | 12 Months Ended |  |  |
--- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Feb. 02, 2023 USD ($) | Oct. 03, 2022 USD ($) | Jul. 01, 2022 USD ($) | Apr. 02, 2021 USD ($) | Dec. 03, 2020 USD ($) | Sep. 30, 2023 USD ($) | Sep. 30, 2022 USD ($) | Sep. 30, 2021 USD ($) | Jun. 30, 2023 USD ($) | Dec. 31, 2022 USD ($) | Oct. 03, 2022 EUR (€)
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Aggregate purchase price, net of cash acquired |  |  |  |  |  | $ 386,508 | $ 125,876 | $ 93,712 |  |  |
Short-term restricted cash |  |  |  |  |  | 4,650 | 382,596 | $ 7,145 |  |  |
Contingent consideration liability |  |  |  |  |  | $ 0 |  |  | $ 0 | $ 18,500 |
Ziath Ltd and Subsidiaries |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Aggregate purchase price, net of cash acquired | $ 16,000 |  |  |  |  |  |  |  |  |  |
B Medical Systems S.a.r.l and Subsidiaries |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Total purchase price |  | $ 432,200 |  |  |  |  |  |  |  |  |
Contingent consideration |  | 17,000 |  |  |  |  |  |  |  |  |
Aggregate purchase price, net of cash acquired |  | $ 424,000 |  |  |  |  |  |  |  |  |
Additional contingent consideration | € |  |  |  |  |  |  |  |  |  |  | € 50.0
Prepaid assets |  |  |  |  |  |  | 43,100 |  |  |  |
Short-term restricted cash |  |  |  |  |  |  | $ 381,000 |  |  |  |
Contingent consideration liability, achievement of certain revenue targets, term |  | 1 year |  |  |  |  |  |  |  |  |
Contingent consideration liability |  |  |  |  |  |  |  |  | $ 0 | $ 18,500 |
Barkey Holding GmbH and Subsidiaries |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Total purchase price |  |  | $ 84,800 |  |  |  |  |  |  |  |
Abeyatech LLC |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Total purchase price |  |  |  | $ 9,900 |  |  |  |  |  |  |
Contingent consideration liability |  |  |  | $ 9,400 |  |  |  |  |  |  |
Trans-Hit Biomarkers |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Total purchase price |  |  |  |  | $ 15,100 |  |  |  |  |  |

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