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Revenue - Business Revenue (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jun. 29, 2024	Jul. 01, 2023	Jun. 29, 2024	Jul. 01, 2023
Disaggregation of Revenue [Line Items]
Revenues	$ 1,011.4	$ 984.4	$ 3,042.3	$ 3,085.1
United States
Disaggregation of Revenue [Line Items]
Revenues	765.3	750.1	2,278.4	2,342.5
International
Disaggregation of Revenue [Line Items]
Revenues	246.1	234.3	763.9	742.6
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	440.8	439.7	1,338.7	1,463.6
Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	326.6	330.6	984.9	1,086.9
Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	114.2	109.1	353.8	376.7
Diagnostics | Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Revenues	122.2	126.8	362.7	365.4
Diagnostics | Cytology & Perinatal | United States
Disaggregation of Revenue [Line Items]
Revenues	73.3	79.7	213.7	226.9
Diagnostics | Cytology & Perinatal | International
Disaggregation of Revenue [Line Items]
Revenues	48.9	47.1	149.0	138.5
Diagnostics | Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	310.7	302.2	953.2	1,069.7
Diagnostics | Molecular Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	245.4	240.2	748.4	831.5
Diagnostics | Molecular Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	65.3	62.0	204.8	238.2
Diagnostics | Blood Screening
Disaggregation of Revenue [Line Items]
Revenues	7.9	10.7	22.8	28.5
Diagnostics | Blood Screening | United States
Disaggregation of Revenue [Line Items]
Revenues	7.9	10.7	22.8	28.5
Diagnostics | Blood Screening | International
Disaggregation of Revenue [Line Items]
Revenues	0.0	0.0	0.0	0.0
Breast Health
Disaggregation of Revenue [Line Items]
Revenues	385.0	360.3	1,147.3	1,079.9
Breast Health | United States
Disaggregation of Revenue [Line Items]
Revenues	300.5	279.9	885.3	843.2
Breast Health | International
Disaggregation of Revenue [Line Items]
Revenues	84.5	80.4	262.0	236.7
Breast Health | Breast Imaging
Disaggregation of Revenue [Line Items]
Revenues	309.2	286.1	917.3	862.1
Breast Health | Breast Imaging | United States
Disaggregation of Revenue [Line Items]
Revenues	240.4	220.7	703.7	666.5
Breast Health | Breast Imaging | International
Disaggregation of Revenue [Line Items]
Revenues	68.8	65.4	213.6	195.6
Breast Health | Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Revenues	75.8	74.2	230.0	217.8
Breast Health | Interventional Breast Solutions | United States
Disaggregation of Revenue [Line Items]
Revenues	60.1	59.2	181.6	176.7
Breast Health | Interventional Breast Solutions | International
Disaggregation of Revenue [Line Items]
Revenues	15.7	15.0	48.4	41.1
GYN Surgical
Disaggregation of Revenue [Line Items]
Revenues	166.6	157.3	484.8	456.2
GYN Surgical | United States
Disaggregation of Revenue [Line Items]
Revenues	125.8	122.9	366.6	359.6
GYN Surgical | International
Disaggregation of Revenue [Line Items]
Revenues	40.8	34.4	118.2	96.6
Skeletal Health
Disaggregation of Revenue [Line Items]
Revenues	19.0	27.1	71.5	85.4
Skeletal Health | United States
Disaggregation of Revenue [Line Items]
Revenues	12.4	16.7	41.6	52.8
Skeletal Health | International
Disaggregation of Revenue [Line Items]
Revenues	$ 6.6	$ 10.4	$ 29.9	$ 32.6

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