Revenue - Business Revenue (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jun. 28, 2025	Jun. 29, 2024	Jun. 28, 2025	Jun. 29, 2024
Disaggregation of Revenue [Line Items]
Revenues	$ 1,023.8	$ 1,011.4	$ 3,050.9	$ 3,042.3
United States
Disaggregation of Revenue [Line Items]
Revenues	760.7	765.3	2,263.6	2,278.4
International
Disaggregation of Revenue [Line Items]
Revenues	263.1	246.1	787.3	763.9
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	448.9	440.8	1,373.1	1,338.7
Diagnostics \| United States
Disaggregation of Revenue [Line Items]
Revenues	337.2	326.6	1,018.8	984.9
Diagnostics \| International
Disaggregation of Revenue [Line Items]
Revenues	111.7	114.2	354.3	353.8
Diagnostics \| Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Revenues	121.4	122.2	365.4	362.7
Diagnostics \| Cytology & Perinatal \| United States
Disaggregation of Revenue [Line Items]
Revenues	75.8	73.3	222.9	213.7
Diagnostics \| Cytology & Perinatal \| International
Disaggregation of Revenue [Line Items]
Revenues	45.6	48.9	142.5	149.0
Diagnostics \| Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	320.5	310.7	987.4	953.2
Diagnostics \| Molecular Diagnostics \| United States
Disaggregation of Revenue [Line Items]
Revenues	254.4	245.4	775.6	748.4
Diagnostics \| Molecular Diagnostics \| International
Disaggregation of Revenue [Line Items]
Revenues	66.1	65.3	211.8	204.8
Diagnostics \| Blood Screening
Disaggregation of Revenue [Line Items]
Revenues	7.0	7.9	20.3	22.8
Diagnostics \| Blood Screening \| United States
Disaggregation of Revenue [Line Items]
Revenues	7.0	7.9	20.3	22.8
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	365.2	385.0	1,090.4	1,147.3
Breast Health \| United States
Disaggregation of Revenue [Line Items]
Revenues	279.6	300.5	833.2	885.3
Breast Health \| International
Disaggregation of Revenue [Line Items]
Revenues	85.6	84.5	257.2	262.0
Breast Health \| Breast Imaging
Disaggregation of Revenue [Line Items]
Revenues	264.7	309.2	818.1	917.3
Breast Health \| Breast Imaging \| United States
Disaggregation of Revenue [Line Items]
Revenues	204.2	240.4	629.4	703.7
Breast Health \| Breast Imaging \| International
Disaggregation of Revenue [Line Items]
Revenues	60.5	68.8	188.7	213.6
Breast Health \| Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Revenues	100.5	75.8	272.3	230.0
Breast Health \| Interventional Breast Solutions \| United States
Disaggregation of Revenue [Line Items]
Revenues	75.4	60.1	203.8	181.6
Breast Health \| Interventional Breast Solutions \| International
Disaggregation of Revenue [Line Items]
Revenues	25.1	15.7	68.5	48.4
GYN Surgical
Disaggregation of Revenue [Line Items]
Revenues	178.4	166.6	507.3	484.8
GYN Surgical \| United States
Disaggregation of Revenue [Line Items]
Revenues	126.2	125.8	365.1	366.6
GYN Surgical \| International
Disaggregation of Revenue [Line Items]
Revenues	52.2	40.8	142.2	118.2
Skeletal Health
Disaggregation of Revenue [Line Items]
Revenues	31.3	19.0	80.1	71.5
Skeletal Health \| United States
Disaggregation of Revenue [Line Items]
Revenues	17.7	12.4	46.5	41.6
Skeletal Health \| International
Disaggregation of Revenue [Line Items]
Revenues	$ 13.6	$ 6.6	$ 33.6	$ 29.9