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Revenue - Business Revenue (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Apr. 01, 2023	Mar. 26, 2022	Apr. 01, 2023	Mar. 26, 2022
Disaggregation of Revenue [Line Items]
Revenues	$ 1,026.5	$ 1,435.7	$ 2,100.7	$ 2,906.9
United States
Disaggregation of Revenue [Line Items]
Revenues	768.7	992.4	1,592.3	2,004.8
International
Disaggregation of Revenue [Line Items]
Revenues	257.8	443.3	508.4	902.1
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	464.7	987.1	1,024.0	1,937.5
Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	342.6	645.1	756.3	1,260.4
Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	122.1	342.0	267.7	677.1
Diagnostics | Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Revenues	111.9	115.4	238.6	245.9
Diagnostics | Cytology & Perinatal | United States
Disaggregation of Revenue [Line Items]
Revenues	69.0	72.1	147.1	153.0
Diagnostics | Cytology & Perinatal | International
Disaggregation of Revenue [Line Items]
Revenues	42.9	43.3	91.5	92.9
Diagnostics | Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	342.2	862.5	767.5	1,676.0
Diagnostics | Molecular Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	263.0	563.8	591.3	1,091.8
Diagnostics | Molecular Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	79.2	298.7	176.2	584.2
Diagnostics | Blood Screening
Disaggregation of Revenue [Line Items]
Revenues	10.6	9.2	17.9	15.6
Diagnostics | Blood Screening | United States
Disaggregation of Revenue [Line Items]
Revenues	10.6	9.2	17.9	15.6
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	385.4	310.4	719.5	669.9
Breast Health | United States
Disaggregation of Revenue [Line Items]
Revenues	293.3	239.5	563.3	510.6
Breast Health | International
Disaggregation of Revenue [Line Items]
Revenues	92.1	70.9	156.2	159.3
Breast Health | Breast Imaging
Disaggregation of Revenue [Line Items]
Revenues	311.5	245.0	575.9	527.3
Breast Health | Breast Imaging | United States
Disaggregation of Revenue [Line Items]
Revenues	233.5	187.4	445.8	396.3
Breast Health | Breast Imaging | International
Disaggregation of Revenue [Line Items]
Revenues	78.0	57.6	130.1	131.0
Breast Health | Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Revenues	73.9	65.4	143.6	142.6
Breast Health | Interventional Breast Solutions | United States
Disaggregation of Revenue [Line Items]
Revenues	59.8	52.1	117.5	114.3
Breast Health | Interventional Breast Solutions | International
Disaggregation of Revenue [Line Items]
Revenues	14.1	13.3	26.1	28.3
GYN Surgical
Disaggregation of Revenue [Line Items]
Revenues	144.8	117.3	298.9	251.6
GYN Surgical | United States
Disaggregation of Revenue [Line Items]
Revenues	113.6	94.0	236.7	203.3
GYN Surgical | International
Disaggregation of Revenue [Line Items]
Revenues	31.2	23.3	62.2	48.3
Skeletal Health
Disaggregation of Revenue [Line Items]
Revenues	31.6	20.9	58.3	47.9
Skeletal Health | United States
Disaggregation of Revenue [Line Items]
Revenues	19.2	13.8	36.0	30.5
Skeletal Health | International
Disaggregation of Revenue [Line Items]
Revenues	$ 12.4	$ 7.1	$ 22.3	$ 17.4

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Amount of revenue recognized from goods sold, services rendered, insurance premiums, or other activities that constitute an earning process. Includes, but is not limited to, investment and interest income before deduction of interest expense when recognized as a component of revenue, and sales and trading gain (loss).

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