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Revenue - Business Revenue (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Mar. 26, 2022	Mar. 27, 2021	Mar. 26, 2022	Mar. 27, 2021
Disaggregation of Revenue [Line Items]
Revenues	$ 1,435.7	$ 1,537.6	$ 2,906.9	$ 3,147.4
Contract with Customer, Liability, Revenue Recognized	30.9	30.1	87.3	80.8
United States
Disaggregation of Revenue [Line Items]
Revenues	992.4	1,064.0	2,004.8	2,201.7
International
Disaggregation of Revenue [Line Items]
Revenues	443.3	473.6	902.1	945.7
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	987.1	1,064.5	1,937.5	2,192.7
Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	645.1	705.2	1,260.4	1,468.6
Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	342.0	359.3	677.1	724.1
Diagnostics | Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Revenues	115.4	117.2	245.9	242.0
Diagnostics | Cytology & Perinatal | United States
Disaggregation of Revenue [Line Items]
Revenues	72.1	76.8	153.0	156.9
Diagnostics | Cytology & Perinatal | International
Disaggregation of Revenue [Line Items]
Revenues	43.3	40.4	92.9	85.1
Diagnostics | Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	862.5	935.3	1,676.0	1,930.6
Diagnostics | Molecular Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	563.8	616.4	1,091.8	1,291.6
Diagnostics | Molecular Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	298.7	318.9	584.2	639.0
Diagnostics | Blood Screening
Disaggregation of Revenue [Line Items]
Revenues	9.2	12.0	15.6	20.1
Diagnostics | Blood Screening | United States
Disaggregation of Revenue [Line Items]
Revenues	9.2	12.0	15.6	20.1
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	310.4	336.3	669.9	669.1
Breast Health | United States
Disaggregation of Revenue [Line Items]
Revenues	239.5	253.0	510.6	511.2
Breast Health | International
Disaggregation of Revenue [Line Items]
Revenues	70.9	83.3	159.3	157.9
Breast Health | Breast Imaging
Disaggregation of Revenue [Line Items]
Revenues	245.0	269.9	527.3	537.6
Breast Health | Breast Imaging | United States
Disaggregation of Revenue [Line Items]
Revenues	187.4	198.1	396.3	401.1
Breast Health | Breast Imaging | International
Disaggregation of Revenue [Line Items]
Revenues	57.6	71.8	131.0	136.5
Breast Health | Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Revenues	65.4	66.4	142.6	131.5
Breast Health | Interventional Breast Solutions | United States
Disaggregation of Revenue [Line Items]
Revenues	52.1	54.9	114.3	110.1
Breast Health | Interventional Breast Solutions | International
Disaggregation of Revenue [Line Items]
Revenues	13.3	11.5	28.3	21.4
GYN Surgical
Disaggregation of Revenue [Line Items]
Revenues	117.3	114.2	251.6	238.2
GYN Surgical | United States
Disaggregation of Revenue [Line Items]
Revenues	94.0	91.7	203.3	192.8
GYN Surgical | International
Disaggregation of Revenue [Line Items]
Revenues	23.3	22.5	48.3	45.4
Skeletal Health
Disaggregation of Revenue [Line Items]
Revenues	20.9	22.6	47.9	47.4
Skeletal Health | United States
Disaggregation of Revenue [Line Items]
Revenues	13.8	14.1	30.5	29.1
Skeletal Health | International
Disaggregation of Revenue [Line Items]
Revenues	$ 7.1	$ 8.5	$ 17.4	$ 18.3

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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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