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Revenue - Business Revenue (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jun. 25, 2022	Jun. 26, 2021	Jun. 25, 2022	Jun. 26, 2021
Disaggregation of Revenue [Line Items]
Revenues	$ 1,002.7	$ 1,168.3	$ 3,909.6	$ 4,315.7
Contract with Customer, Liability, Revenue Recognized	21.4	20.1	108.7	100.9
United States
Disaggregation of Revenue [Line Items]
Revenues	734.6	749.9	2,739.4	2,951.7
International
Disaggregation of Revenue [Line Items]
Revenues	268.1	418.4	1,170.2	1,364.0
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	560.1	665.5	2,497.6	2,858.2
Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	387.4	357.2	1,647.8	1,825.8
Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	172.7	308.3	849.8	1,032.4
Diagnostics | Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Revenues	115.9	115.9	362.0	357.9
Diagnostics | Cytology & Perinatal | United States
Disaggregation of Revenue [Line Items]
Revenues	74.3	73.9	227.4	230.8
Diagnostics | Cytology & Perinatal | International
Disaggregation of Revenue [Line Items]
Revenues	41.6	42.0	134.6	127.1
Diagnostics | Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	435.3	536.4	2,111.1	2,467.0
Diagnostics | Molecular Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	304.2	270.1	1,395.9	1,561.7
Diagnostics | Molecular Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	131.1	266.3	715.2	905.3
Diagnostics | Blood Screening
Disaggregation of Revenue [Line Items]
Revenues	8.9	13.2	24.5	33.3
Diagnostics | Blood Screening | United States
Disaggregation of Revenue [Line Items]
Revenues	8.9	13.2	24.5	33.3
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	282.8	349.0	952.7	1,018.0
Breast Health | United States
Disaggregation of Revenue [Line Items]
Revenues	222.3	273.2	732.9	784.4
Breast Health | International
Disaggregation of Revenue [Line Items]
Revenues	60.5	75.8	219.8	233.6
Breast Health | Breast Imaging
Disaggregation of Revenue [Line Items]
Revenues	212.2	280.3	739.5	817.8
Breast Health | Breast Imaging | United States
Disaggregation of Revenue [Line Items]
Revenues	165.5	218.4	561.8	619.5
Breast Health | Breast Imaging | International
Disaggregation of Revenue [Line Items]
Revenues	46.7	61.9	177.7	198.3
Breast Health | Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Revenues	70.6	68.7	213.2	200.2
Breast Health | Interventional Breast Solutions | United States
Disaggregation of Revenue [Line Items]
Revenues	56.8	54.8	171.1	164.9
Breast Health | Interventional Breast Solutions | International
Disaggregation of Revenue [Line Items]
Revenues	13.8	13.9	42.1	35.3
GYN Surgical
Disaggregation of Revenue [Line Items]
Revenues	138.1	127.9	389.6	366.2
GYN Surgical | United States
Disaggregation of Revenue [Line Items]
Revenues	112.2	103.9	315.4	296.8
GYN Surgical | International
Disaggregation of Revenue [Line Items]
Revenues	25.9	24.0	74.2	69.4
Skeletal Health
Disaggregation of Revenue [Line Items]
Revenues	21.7	25.9	69.7	73.3
Skeletal Health | United States
Disaggregation of Revenue [Line Items]
Revenues	12.7	15.6	43.3	44.7
Skeletal Health | International
Disaggregation of Revenue [Line Items]
Revenues	$ 9.0	$ 10.3	$ 26.4	$ 28.6

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Amount of revenue recognized that was previously included in balance of obligation to transfer good or service to customer for which consideration from customer has been received or is due.

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