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Revenue - Revenue by Type (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2023	Sep. 24, 2022	Sep. 25, 2021
Disaggregation of Revenue [Line Items]
Revenues	$ 4,030.4	$ 4,862.8	$ 5,632.3
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	1,880.1	3,018.5	3,695.0
United States
Disaggregation of Revenue [Line Items]
Revenues	3,058.0	3,467.9	3,902.3
United States | Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	1,396.2	2,027.3	2,393.1
International
Disaggregation of Revenue [Line Items]
Revenues	972.4	1,394.9	1,730.0
International | Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	483.9	991.2	1,301.9
Consumables
Disaggregation of Revenue [Line Items]
Revenues	2,539.4	3,603.6	4,198.2
Capital equipment, components and software
Disaggregation of Revenue [Line Items]
Revenues	740.5	587.6	769.1
Service
Disaggregation of Revenue [Line Items]
Revenues	730.5	652.4	598.1
Other
Disaggregation of Revenue [Line Items]
Revenues	20.0	19.2	66.9
Cytology & Perinatal | Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	480.6	474.7	473.9
Cytology & Perinatal | United States | Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	297.4	300.4	304.6
Cytology & Perinatal | International | Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	183.2	174.3	169.3
Molecular Diagnostics | Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	1,361.7	2,511.4	3,171.5
Molecular Diagnostics | United States | Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	1,061.0	1,694.5	2,038.9
Molecular Diagnostics | International | Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	300.7	816.9	1,132.6
Blood screening [Member] | Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	37.8	32.4	49.6
Blood screening [Member] | United States | Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	37.8	32.4	49.6
Blood screening [Member] | International | Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	$ 0.0	$ 0.0	$ 0.0

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