Revenue - Business Revenue (Details) - USD ($) $ in Millions	3 Months Ended
	Dec. 28, 2024	Dec. 30, 2023
Disaggregation of Revenue [Line Items]
Revenues	$ 1,021.8	$ 1,013.1
United States
Disaggregation of Revenue [Line Items]
Revenues	757.9	753.7
International
Disaggregation of Revenue [Line Items]
Revenues	263.9	259.4
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	470.6	447.8
Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	342.7	325.4
Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	127.9	122.4
Diagnostics | Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Revenues	125.4	120.0
Diagnostics | Cytology & Perinatal | United States
Disaggregation of Revenue [Line Items]
Revenues	76.0	69.8
Diagnostics | Cytology & Perinatal | International
Disaggregation of Revenue [Line Items]
Revenues	49.4	50.2
Diagnostics | Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	341.1	319.8
Diagnostics | Molecular Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	262.6	247.6
Diagnostics | Molecular Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	78.5	72.2
Diagnostics | Blood Screening
Disaggregation of Revenue [Line Items]
Revenues	4.1	8.0
Diagnostics | Blood Screening | United States
Disaggregation of Revenue [Line Items]
Revenues	4.1	8.0
Diagnostics | Blood Screening | International
Disaggregation of Revenue [Line Items]
Revenues	0.0	0.0
Breast Health
Disaggregation of Revenue [Line Items]
Revenues	369.1	377.7
Breast Health | United States
Disaggregation of Revenue [Line Items]
Revenues	282.0	289.5
Breast Health | International
Disaggregation of Revenue [Line Items]
Revenues	87.1	88.2
Breast Health | Breast Imaging
Disaggregation of Revenue [Line Items]
Revenues	281.6	301.4
Breast Health | Breast Imaging | United States
Disaggregation of Revenue [Line Items]
Revenues	215.7	228.4
Breast Health | Breast Imaging | International
Disaggregation of Revenue [Line Items]
Revenues	65.9	73.0
Breast Health | Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Revenues	87.5	76.3
Breast Health | Interventional Breast Solutions | United States
Disaggregation of Revenue [Line Items]
Revenues	66.3	61.1
Breast Health | Interventional Breast Solutions | International
Disaggregation of Revenue [Line Items]
Revenues	21.2	15.2
GYN Surgical
Disaggregation of Revenue [Line Items]
Revenues	166.3	162.2
GYN Surgical | United States
Disaggregation of Revenue [Line Items]
Revenues	121.9	125.1
GYN Surgical | International
Disaggregation of Revenue [Line Items]
Revenues	44.4	37.1
Skeletal Health
Disaggregation of Revenue [Line Items]
Revenues	15.8	25.4
Skeletal Health | United States
Disaggregation of Revenue [Line Items]
Revenues	11.3	13.7
Skeletal Health | International
Disaggregation of Revenue [Line Items]
Revenues	$ 4.5	$ 11.7