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Business Combinations - Amounts of Assets and Liabilities at Fair Value as of Acquisition Date (Details) - USD ($) $ in Thousands | 12 Months Ended |  |  |  |  |  |  |
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Sep. 30, 2023 | Feb. 02, 2023 | Oct. 03, 2022 | Sep. 30, 2022 | Jul. 01, 2022 | Sep. 30, 2021 | Apr. 02, 2021 | Dec. 03, 2020
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Goodwill | $ 784,339 |  |  | $ 513,623 |  | $ 469,356 |  |
Life Sciences Services |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Goodwill | 359,035 |  |  | $ 359,011 |  | $ 359,218 |  |
Ziath Ltd and Subsidiaries |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Deferred income taxes, net |  | $ 1,100 |  |  |  |  |  |
Goodwill |  | 12,000 |  |  |  |  |  |
Ziath Ltd and Subsidiaries | Completed Technology |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Intangible assets |  | 4,100 |  |  |  |  |  |
Ziath Ltd and Subsidiaries | Trademarks and Trade Names |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Intangible assets |  | 300 |  |  |  |  |  |
Ziath Ltd and Subsidiaries | Customer Relationships |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Intangible assets |  | $ 600 |  |  |  |  |  |
B Medical Systems S.a.r.l and Subsidiaries |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Accounts receivable |  |  | $ 19,549 |  |  |  |  |
Inventory |  |  | 51,978 |  |  |  |  |
Other assets |  |  | 10,769 |  |  |  |  |
Property, plant and equipment |  |  | 54,149 |  |  |  |  |
Other liabilities |  |  | (32,533) |  |  |  |  |
Deferred income taxes, net |  |  | 43,393 |  |  |  |  |
Goodwill |  |  | 228,241 |  |  |  |  |
Total purchase price, net of cash acquired |  |  | 432,160 |  |  |  |  |
Increase (decrease) to goodwill | 9,200 |  |  |  |  |  |  |
Increase (decrease) to property, plant and equipment | (1,000) |  |  |  |  |  |  |
Increase (decrease) to intangible assets | 400 |  |  |  |  |  |  |
Increase (decrease) to other assets | (9,600) |  |  |  |  |  |  |
Increase (decrease) to inventory | 2,300 |  |  |  |  |  |  |
Increase (decrease) in other liabilities | (800) |  |  |  |  |  |  |
Increase (decrease) to deferred taxes | (400) |  |  |  |  |  |  |
B Medical Systems S.a.r.l and Subsidiaries | Completed Technology |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Intangible assets |  |  | 100,600 |  |  |  |  |
B Medical Systems S.a.r.l and Subsidiaries | Trademarks |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Intangible assets |  |  | 5,500 |  |  |  |  |
B Medical Systems S.a.r.l and Subsidiaries | Customer Relationships |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Intangible assets |  |  | 36,700 |  |  |  |  |
B Medical Systems S.a.r.l and Subsidiaries | Order or Production Backlog |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Intangible assets |  |  | $ 600 |  |  |  |  |
Barkey Holding GmbH and Subsidiaries |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Deferred income taxes, net |  |  |  |  | $ 9,800 |  |  |
Goodwill |  |  |  |  | 60,500 |  |  |
Increase (decrease) to goodwill | 2,700 |  |  |  |  |  |  |
Increase (decrease) to accrued liabilities | $ 2,700 |  |  |  |  |  |  |
Barkey Holding GmbH and Subsidiaries | Completed Technology |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Intangible assets |  |  |  |  | 29,000 |  |  |
Barkey Holding GmbH and Subsidiaries | Customer Relationships |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Intangible assets |  |  |  |  | $ 3,000 |  |  |
Abeyatech LLC |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Goodwill |  |  |  |  |  |  | $ 4,400 |
Other assets and liabilities, net |  |  |  |  |  |  | 3,000 |
Abeyatech LLC | Completed Technology |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Intangible assets |  |  |  |  |  |  | $ 11,900 |
Trans-Hit Biomarkers |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Intangible assets |  |  |  |  |  |  |  | $ 7,800
Deferred income taxes, net |  |  |  |  |  |  |  | 2,400
Goodwill |  |  |  |  |  |  |  | 9,300
Trans-Hit Biomarkers | Life Sciences Services |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Goodwill |  |  |  |  |  |  |  | $ 9,300

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