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Revenue - Business Revenue (Details) - USD ($) $ in Millions	3 Months Ended
	Dec. 30, 2023	Dec. 31, 2022
Disaggregation of Revenue [Line Items]
Revenues	$ 1,013.1	$ 1,074.2
United States
Disaggregation of Revenue [Line Items]
Revenues	753.7	823.6
International
Disaggregation of Revenue [Line Items]
Revenues	259.4	250.6
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	447.8	559.3
Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	325.4	413.7
Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	122.4	145.6
Diagnostics | Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Revenues	120.0	126.8
Diagnostics | Cytology & Perinatal | United States
Disaggregation of Revenue [Line Items]
Revenues	69.8	78.2
Diagnostics | Cytology & Perinatal | International
Disaggregation of Revenue [Line Items]
Revenues	50.2	48.6
Diagnostics | Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	319.8	425.2
Diagnostics | Molecular Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	247.6	328.2
Diagnostics | Molecular Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	72.2	97.0
Diagnostics | Blood Screening
Disaggregation of Revenue [Line Items]
Revenues	8.0	7.3
Diagnostics | Blood Screening | United States
Disaggregation of Revenue [Line Items]
Revenues	8.0	7.3
Diagnostics | Blood Screening | International
Disaggregation of Revenue [Line Items]
Revenues	0.0	0.0
Breast Health
Disaggregation of Revenue [Line Items]
Revenues	377.7	334.2
Breast Health | United States
Disaggregation of Revenue [Line Items]
Revenues	289.5	270.0
Breast Health | International
Disaggregation of Revenue [Line Items]
Revenues	88.2	64.2
Breast Health | Breast Imaging
Disaggregation of Revenue [Line Items]
Revenues	301.4	264.4
Breast Health | Breast Imaging | United States
Disaggregation of Revenue [Line Items]
Revenues	228.4	212.2
Breast Health | Breast Imaging | International
Disaggregation of Revenue [Line Items]
Revenues	73.0	52.2
Breast Health | Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Revenues	76.3	69.8
Breast Health | Interventional Breast Solutions | United States
Disaggregation of Revenue [Line Items]
Revenues	61.1	57.8
Breast Health | Interventional Breast Solutions | International
Disaggregation of Revenue [Line Items]
Revenues	15.2	12.0
GYN Surgical
Disaggregation of Revenue [Line Items]
Revenues	162.2	154.1
GYN Surgical | United States
Disaggregation of Revenue [Line Items]
Revenues	125.1	123.1
GYN Surgical | International
Disaggregation of Revenue [Line Items]
Revenues	37.1	31.0
Skeletal Health
Disaggregation of Revenue [Line Items]
Revenues	25.4	26.6
Skeletal Health | United States
Disaggregation of Revenue [Line Items]
Revenues	13.7	16.8
Skeletal Health | International
Disaggregation of Revenue [Line Items]
Revenues	$ 11.7	$ 9.8

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