Revenue - Business Revenue (Details) - USD ($)	3 Months Ended		6 Months Ended
	Mar. 27, 2021	Mar. 28, 2020	Mar. 27, 2021	Mar. 28, 2020
Disaggregation of Revenue [Line Items]
Revenues	$ 1,537,600,000	$ 756,100,000	$ 3,147,400,000	$ 1,606,600,000
Contract with Customer, Liability, Revenue Recognized	30,100,000	26,200,000	80,800,000	77,500,000
United States
Disaggregation of Revenue [Line Items]
Revenues	1,064,000,000.0	574,900,000	2,201,700,000	1,207,600,000
International
Disaggregation of Revenue [Line Items]
Revenues	473,600,000	181,200,000	945,700,000	399,000,000.0
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	1,064,500,000	319,200,000	2,192,700,000	630,700,000
Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	705,200,000	238,200,000	1,468,600,000	469,800,000
Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	359,300,000	81,000,000.0	724,100,000	160,900,000
Diagnostics | Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Revenues	117,200,000	113,400,000	242,000,000.0	234,400,000
Diagnostics | Cytology & Perinatal | United States
Disaggregation of Revenue [Line Items]
Revenues	76,800,000	73,200,000	156,900,000	150,700,000
Diagnostics | Cytology & Perinatal | International
Disaggregation of Revenue [Line Items]
Revenues	40,400,000	40,200,000	85,100,000	83,700,000
Diagnostics | Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	935,300,000	190,600,000	1,930,600,000	369,100,000
Diagnostics | Molecular Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	616,400,000	149,800,000	1,291,600,000	291,900,000
Diagnostics | Molecular Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	318,900,000	40,800,000	639,000,000.0	77,200,000
Diagnostics | Blood Screening
Disaggregation of Revenue [Line Items]
Revenues	12,000,000.0	15,200,000	20,100,000	27,200,000
Diagnostics | Blood Screening | United States
Disaggregation of Revenue [Line Items]
Revenues	12,000,000.0	15,200,000	20,100,000	27,200,000
Diagnostics | Blood Screening | International
Disaggregation of Revenue [Line Items]
Revenues	0	0	0	0
Breast Health
Disaggregation of Revenue [Line Items]
Revenues	336,300,000	307,800,000	669,100,000	638,900,000
Breast Health | United States
Disaggregation of Revenue [Line Items]
Revenues	253,000,000.0	234,400,000	511,200,000	490,900,000
Breast Health | International
Disaggregation of Revenue [Line Items]
Revenues	83,300,000	73,400,000	157,900,000	148,000,000.0
Breast Health | Breast Imaging
Disaggregation of Revenue [Line Items]
Revenues	269,900,000	250,200,000	537,600,000	525,000,000.0
Breast Health | Breast Imaging | United States
Disaggregation of Revenue [Line Items]
Revenues	198,100,000	186,000,000.0	401,100,000	395,400,000
Breast Health | Breast Imaging | International
Disaggregation of Revenue [Line Items]
Revenues	71,800,000	64,200,000	136,500,000	129,600,000
Breast Health | Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Revenues	66,400,000	57,600,000	131,500,000	113,900,000
Breast Health | Interventional Breast Solutions | United States
Disaggregation of Revenue [Line Items]
Revenues	54,900,000	48,400,000	110,100,000	95,500,000
Breast Health | Interventional Breast Solutions | International
Disaggregation of Revenue [Line Items]
Revenues	11,500,000	9,200,000	21,400,000	18,400,000
GYN Surgical
Disaggregation of Revenue [Line Items]
Revenues	114,200,000	105,400,000	238,200,000	224,500,000
GYN Surgical | United States
Disaggregation of Revenue [Line Items]
Revenues	91,700,000	86,700,000	192,800,000	185,500,000
GYN Surgical | International
Disaggregation of Revenue [Line Items]
Revenues	22,500,000	18,700,000	45,400,000	39,000,000.0
Medical Aesthetics
Disaggregation of Revenue [Line Items]
Revenues	0	0	0	65,300,000
Medical Aesthetics | United States
Disaggregation of Revenue [Line Items]
Revenues			0	30,900,000
Medical Aesthetics | International
Disaggregation of Revenue [Line Items]
Revenues			0	34,400,000
Skeletal Health
Disaggregation of Revenue [Line Items]
Revenues	22,600,000	23,700,000	47,400,000	47,200,000
Skeletal Health | United States
Disaggregation of Revenue [Line Items]
Revenues	14,100,000	15,600,000	29,100,000	30,500,000
Skeletal Health | International
Disaggregation of Revenue [Line Items]
Revenues	$ 8,500,000	$ 8,100,000	$ 18,300,000	$ 16,700,000