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Business Combinations - Goodwill (Details) - USD ($) $ in Thousands | Sep. 30, 2023 | Feb. 02, 2023 | Oct. 03, 2022 | Sep. 30, 2022 | Jul. 01, 2022 | Sep. 30, 2021 | Apr. 02, 2021 | Dec. 03, 2020
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Business Combination, Goodwill [Abstract] |  |  |  |  |  |  |  |
Goodwill | $ 784,339 |  |  | $ 513,623 |  | $ 469,356 |  |
Life Sciences Products |  |  |  |  |  |  |  |
Business Combination, Goodwill [Abstract] |  |  |  |  |  |  |  |
Goodwill | 425,304 |  |  | 154,612 |  | 110,138 |  |
Life Sciences Services |  |  |  |  |  |  |  |
Business Combination, Goodwill [Abstract] |  |  |  |  |  |  |  |
Goodwill | $ 359,035 |  |  | $ 359,011 |  | $ 359,218 |  |
Ziath Ltd and Subsidiaries |  |  |  |  |  |  |  |
Business Combination, Goodwill [Abstract] |  |  |  |  |  |  |  |
Goodwill |  | $ 12,000 |  |  |  |  |  |
Goodwill deductible for tax purposes |  | $ 0 |  |  |  |  |  |
B Medical Systems S.a.r.l and Subsidiaries |  |  |  |  |  |  |  |
Business Combination, Goodwill [Abstract] |  |  |  |  |  |  |  |
Goodwill |  |  | $ 228,241 |  |  |  |  |
Goodwill deductible for tax purposes |  |  | 0 |  |  |  |  |
B Medical Systems S.a.r.l and Subsidiaries | Life Sciences Products |  |  |  |  |  |  |  |
Business Combination, Goodwill [Abstract] |  |  |  |  |  |  |  |
Goodwill |  |  | $ 228,200 |  |  |  |  |
Barkey Holding GmbH and Subsidiaries |  |  |  |  |  |  |  |
Business Combination, Goodwill [Abstract] |  |  |  |  |  |  |  |
Goodwill |  |  |  |  | $ 60,500 |  |  |
Goodwill deductible for tax purposes |  |  |  |  | $ 0 |  |  |
Abeyatech LLC |  |  |  |  |  |  |  |
Business Combination, Goodwill [Abstract] |  |  |  |  |  |  |  |
Goodwill |  |  |  |  |  |  | $ 4,400 |
Goodwill deductible for tax purposes |  |  |  |  |  |  | $ 4,400 |
Trans-Hit Biomarkers |  |  |  |  |  |  |  |
Business Combination, Goodwill [Abstract] |  |  |  |  |  |  |  |
Goodwill |  |  |  |  |  |  |  | $ 9,300
Trans-Hit Biomarkers | Life Sciences Services |  |  |  |  |  |  |  |
Business Combination, Goodwill [Abstract] |  |  |  |  |  |  |  |
Goodwill |  |  |  |  |  |  |  | 9,300
Goodwill deductible for tax purposes |  |  |  |  |  |  |  | $ 0

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