Revenue - Business Revenue (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Mar. 29, 2025	Mar. 30, 2024	Mar. 29, 2025	Mar. 30, 2024
Disaggregation of Revenue [Line Items]
Revenues	$ 1,005.3	$ 1,017.8	$ 2,027.1	$ 2,030.9
United States
Disaggregation of Revenue [Line Items]
Revenues	744.9	759.4	1,502.8	1,513.1
International
Disaggregation of Revenue [Line Items]
Revenues	260.4	258.4	524.3	517.8
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	453.6	450.1	924.2	897.9
Diagnostics \| United States
Disaggregation of Revenue [Line Items]
Revenues	338.9	333.0	681.6	658.3
Diagnostics \| International
Disaggregation of Revenue [Line Items]
Revenues	114.7	117.1	242.6	239.6
Diagnostics \| Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Revenues	118.5	120.5	244.0	240.5
Diagnostics \| Cytology & Perinatal \| United States
Disaggregation of Revenue [Line Items]
Revenues	71.1	70.7	147.1	140.5
Diagnostics \| Cytology & Perinatal \| International
Disaggregation of Revenue [Line Items]
Revenues	47.4	49.8	96.9	100.0
Diagnostics \| Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	326.0	322.7	666.9	642.5
Diagnostics \| Molecular Diagnostics \| United States
Disaggregation of Revenue [Line Items]
Revenues	258.7	255.4	521.2	502.9
Diagnostics \| Molecular Diagnostics \| International
Disaggregation of Revenue [Line Items]
Revenues	67.3	67.3	145.7	139.6
Diagnostics \| Blood Screening
Disaggregation of Revenue [Line Items]
Revenues	9.1	6.9	13.3	14.9
Diagnostics \| Blood Screening \| United States
Disaggregation of Revenue [Line Items]
Revenues	9.1	6.9	13.3	14.9
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	356.2	384.6	725.2	762.3
Breast Health \| United States
Disaggregation of Revenue [Line Items]
Revenues	271.4	295.3	553.5	584.8
Breast Health \| International
Disaggregation of Revenue [Line Items]
Revenues	84.8	89.3	171.7	177.5
Breast Health \| Breast Imaging
Disaggregation of Revenue [Line Items]
Revenues	271.9	306.7	553.4	608.1
Breast Health \| Breast Imaging \| United States
Disaggregation of Revenue [Line Items]
Revenues	209.4	234.9	425.1	463.3
Breast Health \| Breast Imaging \| International
Disaggregation of Revenue [Line Items]
Revenues	62.5	71.8	128.3	144.8
Breast Health \| Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Revenues	84.3	77.9	171.8	154.2
Breast Health \| Interventional Breast Solutions \| United States
Disaggregation of Revenue [Line Items]
Revenues	62.0	60.4	128.4	121.5
Breast Health \| Interventional Breast Solutions \| International
Disaggregation of Revenue [Line Items]
Revenues	22.3	17.5	43.4	32.7
GYN Surgical
Disaggregation of Revenue [Line Items]
Revenues	162.5	156.0	328.9	318.2
GYN Surgical \| United States
Disaggregation of Revenue [Line Items]
Revenues	117.0	115.6	238.9	240.8
GYN Surgical \| International
Disaggregation of Revenue [Line Items]
Revenues	45.5	40.4	90.0	77.4
Skeletal Health
Disaggregation of Revenue [Line Items]
Revenues	33.0	27.1	48.8	52.5
Skeletal Health \| United States
Disaggregation of Revenue [Line Items]
Revenues	17.6	15.5	28.8	29.2
Skeletal Health \| International
Disaggregation of Revenue [Line Items]
Revenues	$ 15.4	$ 11.6	$ 20.0	$ 23.3