Business Combinations - Purchase Consideration (Details) $ in Thousands, € in Millions						12 Months Ended
	Feb. 02, 2023 USD ($)	Oct. 03, 2022 USD ($)	Jul. 01, 2022 USD ($)	Apr. 02, 2021 USD ($)	Dec. 03, 2020 USD ($)	Sep. 30, 2023 USD ($)	Sep. 30, 2022 USD ($)	Sep. 30, 2021 USD ($)	Jun. 30, 2023 USD ($)	Dec. 31, 2022 USD ($)	Oct. 03, 2022 EUR (€)
Business Acquisition [Line Items]
Aggregate purchase price, net of cash acquired						$ 386,508	$ 125,876	$ 93,712
Short-term restricted cash						4,650	382,596	$ 7,145
Contingent consideration liability						$ 0			$ 0	$ 18,500
Ziath Ltd and Subsidiaries
Business Acquisition [Line Items]
Aggregate purchase price, net of cash acquired	$ 16,000
B Medical Systems S.a.r.l and Subsidiaries
Business Acquisition [Line Items]
Total purchase price		$ 432,200
Contingent consideration		17,000
Aggregate purchase price, net of cash acquired		$ 424,000
Additional contingent consideration | €											€ 50.0
Prepaid assets							43,100
Short-term restricted cash							$ 381,000
Contingent consideration liability, achievement of certain revenue targets, term		1 year
Contingent consideration liability									$ 0	$ 18,500
Barkey Holding GmbH and Subsidiaries
Business Acquisition [Line Items]
Total purchase price			$ 84,800
Abeyatech LLC
Business Acquisition [Line Items]
Total purchase price				$ 9,900
Contingent consideration liability				$ 9,400
Trans-Hit Biomarkers
Business Acquisition [Line Items]
Total purchase price					$ 15,100