Segment and Geographic Information - Financial Information for Business Segments - Assets (Details) - USD ($) $ in Thousands	Mar. 31, 2024	Sep. 30, 2023
Segment Reporting Information [Line Items]
Total assets	$ 2,563,497	$ 2,885,720
Operating Segments
Segment Reporting Information [Line Items]
Total assets	1,557,205	1,721,785
Operating Segments | Sample Management Solutions
Segment Reporting Information [Line Items]
Total assets	845,641	675,708
Operating Segments | Multiomics
Segment Reporting Information [Line Items]
Total assets	462,684	534,437
Operating Segments | B Medical Systems
Segment Reporting Information [Line Items]
Total assets	$ 248,880	$ 511,640