Revenue - Business Revenue (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jul. 01, 2023	Jun. 25, 2022	Jul. 01, 2023	Jun. 25, 2022
Disaggregation of Revenue [Line Items]
Revenues	$ 984.4	$ 1,002.7	$ 3,085.1	$ 3,909.6
United States
Disaggregation of Revenue [Line Items]
Revenues	750.1	734.6	2,342.5	2,739.4
International
Disaggregation of Revenue [Line Items]
Revenues	234.3	268.1	742.6	1,170.2
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	439.7	560.1	1,463.6	2,497.6
Diagnostics \| United States
Disaggregation of Revenue [Line Items]
Revenues	330.6	387.4	1,086.9	1,647.8
Diagnostics \| International
Disaggregation of Revenue [Line Items]
Revenues	109.1	172.7	376.7	849.8
Diagnostics \| Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Revenues	126.8	115.9	365.4	362.0
Diagnostics \| Cytology & Perinatal \| United States
Disaggregation of Revenue [Line Items]
Revenues	79.7	74.3	226.9	227.4
Diagnostics \| Cytology & Perinatal \| International
Disaggregation of Revenue [Line Items]
Revenues	47.1	41.6	138.5	134.6
Diagnostics \| Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	302.2	435.3	1,069.7	2,111.1
Diagnostics \| Molecular Diagnostics \| United States
Disaggregation of Revenue [Line Items]
Revenues	240.2	304.2	831.5	1,395.9
Diagnostics \| Molecular Diagnostics \| International
Disaggregation of Revenue [Line Items]
Revenues	62.0	131.1	238.2	715.2
Diagnostics \| Blood Screening
Disaggregation of Revenue [Line Items]
Revenues	10.7	8.9	28.5	24.5
Diagnostics \| Blood Screening \| United States
Disaggregation of Revenue [Line Items]
Revenues	10.7	8.9	28.5	24.5
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	360.3	282.8	1,079.9	952.7
Breast Health \| United States
Disaggregation of Revenue [Line Items]
Revenues	279.9	222.3	843.2	732.9
Breast Health \| International
Disaggregation of Revenue [Line Items]
Revenues	80.4	60.5	236.7	219.8
Breast Health \| Breast Imaging
Disaggregation of Revenue [Line Items]
Revenues	286.1	212.2	862.1	739.5
Breast Health \| Breast Imaging \| United States
Disaggregation of Revenue [Line Items]
Revenues	220.7	165.5	666.5	561.8
Breast Health \| Breast Imaging \| International
Disaggregation of Revenue [Line Items]
Revenues	65.4	46.7	195.6	177.7
Breast Health \| Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Revenues	74.2	70.6	217.8	213.2
Breast Health \| Interventional Breast Solutions \| United States
Disaggregation of Revenue [Line Items]
Revenues	59.2	56.8	176.7	171.1
Breast Health \| Interventional Breast Solutions \| International
Disaggregation of Revenue [Line Items]
Revenues	15.0	13.8	41.1	42.1
GYN Surgical
Disaggregation of Revenue [Line Items]
Revenues	157.3	138.1	456.2	389.6
GYN Surgical \| United States
Disaggregation of Revenue [Line Items]
Revenues	122.9	112.2	359.6	315.4
GYN Surgical \| International
Disaggregation of Revenue [Line Items]
Revenues	34.4	25.9	96.6	74.2
Skeletal Health
Disaggregation of Revenue [Line Items]
Revenues	27.1	21.7	85.4	69.7
Skeletal Health \| United States
Disaggregation of Revenue [Line Items]
Revenues	16.7	12.7	52.8	43.3
Skeletal Health \| International
Disaggregation of Revenue [Line Items]
Revenues	$ 10.4	$ 9.0	$ 32.6	$ 26.4