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Revenue - Business Revenue (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
United States
Disaggregation of Revenue [Line Items]
Revenues	3,058.0	3,467.9	3,902.3
International
Disaggregation of Revenue [Line Items]
Revenues	972.4	1,394.9	1,730.0
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	1,880.1	3,018.5	3,695.0
Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	1,396.2	2,027.3	2,393.1
Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	483.9	991.2	1,301.9
Diagnostics | Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Revenues	480.6	474.7	473.9
Diagnostics | Cytology & Perinatal | United States
Disaggregation of Revenue [Line Items]
Revenues	297.4	300.4	304.6
Diagnostics | Cytology & Perinatal | International
Disaggregation of Revenue [Line Items]
Revenues	183.2	174.3	169.3
Diagnostics | Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	1,361.7	2,511.4	3,171.5
Diagnostics | Molecular Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	1,061.0	1,694.5	2,038.9
Diagnostics | Molecular Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	300.7	816.9	1,132.6
Diagnostics | Blood Screening
Disaggregation of Revenue [Line Items]
Revenues	37.8	32.4	49.6
Diagnostics | Blood Screening | United States
Disaggregation of Revenue [Line Items]
Revenues	37.8	32.4	49.6
Diagnostics | Blood Screening | International
Disaggregation of Revenue [Line Items]
Revenues	0.0	0.0	0.0
Breast Health
Disaggregation of Revenue [Line Items]
Revenues	1,432.7	1,227.8	1,352.3
Breast Health | United States
Disaggregation of Revenue [Line Items]
Revenues	1,116.6	957.2	1,051.8
Breast Health | International
Disaggregation of Revenue [Line Items]
Revenues	316.1	270.6	300.5
Breast Health | Breast Imaging
Disaggregation of Revenue [Line Items]
Revenues	1,144.2	951.6	1,083.4
Breast Health | Breast Imaging | United States
Disaggregation of Revenue [Line Items]
Revenues	884.0	735.1	830.4
Breast Health | Breast Imaging | International
Disaggregation of Revenue [Line Items]
Revenues	260.2	216.5	253.0
Breast Health | Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Revenues	288.5	276.2	268.9
Breast Health | Interventional Breast Solutions | United States
Disaggregation of Revenue [Line Items]
Revenues	232.6	222.1	221.4
Breast Health | Interventional Breast Solutions | International
Disaggregation of Revenue [Line Items]
Revenues	55.9	54.1	47.5
Gyn Surgical [Member]
Disaggregation of Revenue [Line Items]
Revenues	604.2	522.9	488.1
Gyn Surgical [Member] | United States
Disaggregation of Revenue [Line Items]
Revenues	475.3	423.8	396.4
Gyn Surgical [Member] | International
Disaggregation of Revenue [Line Items]
Revenues	128.9	99.1	91.7
Skeletal Health
Disaggregation of Revenue [Line Items]
Revenues	113.4	93.6	96.9
Skeletal Health | United States
Disaggregation of Revenue [Line Items]
Revenues	69.9	59.6	61.0
Skeletal Health | International
Disaggregation of Revenue [Line Items]
Revenues	$ 43.5	$ 34.0	$ 35.9

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