Segment and Geographic Information - Financial Information for Business Segments - Assets (Details) - USD ($) $ in Thousands	Mar. 31, 2022	Sep. 30, 2021
Segment Reporting Information [Line Items]
Total assets	$ 4,159,046	$ 1,819,512
Operating Segments
Segment Reporting Information [Line Items]
Total assets	1,114,783	1,059,007
Operating Segments | Life Sciences Products
Segment Reporting Information [Line Items]
Total assets	288,902	278,769
Operating Segments | Life Sciences Services
Segment Reporting Information [Line Items]
Total assets	$ 825,881	$ 780,238