Segment and Geographic Information - Financial Information for Business Segments - Assets (Details) - USD ($) $ in Thousands	Dec. 31, 2023	Sep. 30, 2023
Segment Reporting Information [Line Items]
Total assets	$ 2,824,314	$ 2,885,720
Operating Segments
Segment Reporting Information [Line Items]
Total assets	1,741,548	1,721,785
Operating Segments | Sample Management Solutions
Segment Reporting Information [Line Items]
Total assets	874,037	675,708
Operating Segments | Multiomics
Segment Reporting Information [Line Items]
Total assets	490,898	534,437
Operating Segments | B Medical Systems
Segment Reporting Information [Line Items]
Total assets	$ 376,613	$ 511,640