Revenue - Business Revenue (Details) - USD ($)	3 Months Ended		9 Months Ended
	Jun. 27, 2020	Jun. 29, 2019	Jun. 27, 2020	Jun. 29, 2019
Disaggregation of Revenue [Line Items]
Revenues	$ 822,900,000	$ 852,400,000	$ 2,429,500,000	$ 2,501,400,000
Contract with Customer, Liability, Revenue Recognized	18,000,000.0		95,500,000
United States
Disaggregation of Revenue [Line Items]
Revenues	660,800,000	642,500,000	1,868,500,000	1,879,700,000
International
Disaggregation of Revenue [Line Items]
Revenues	162,100,000	209,900,000	561,000,000.0	621,700,000
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	532,200,000	305,400,000	1,163,200,000	898,600,000
Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	439,100,000	231,200,000	909,100,000	685,500,000
Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	93,100,000	74,200,000	254,100,000	213,100,000
Diagnostics | Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Revenues	64,100,000	120,300,000	298,700,000	353,900,000
Diagnostics | Cytology & Perinatal | United States
Disaggregation of Revenue [Line Items]
Revenues	40,300,000	78,500,000	191,100,000	234,300,000
Diagnostics | Cytology & Perinatal | International
Disaggregation of Revenue [Line Items]
Revenues	23,800,000	41,800,000	107,600,000	119,600,000
Diagnostics | Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	460,300,000	170,900,000	829,500,000	502,900,000
Diagnostics | Molecular Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	391,000,000.0	138,500,000	683,000,000.0	409,400,000
Diagnostics | Molecular Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	69,300,000	32,400,000	146,500,000	93,500,000
Diagnostics | Blood Screening
Disaggregation of Revenue [Line Items]
Revenues	7,800,000	14,200,000	35,000,000.0	41,800,000
Diagnostics | Blood Screening | United States
Disaggregation of Revenue [Line Items]
Revenues	7,800,000	14,200,000	35,000,000.0	41,800,000
Diagnostics | Blood Screening | International
Disaggregation of Revenue [Line Items]
Revenues	0	0	0	0
Breast Health
Disaggregation of Revenue [Line Items]
Revenues	224,000,000.0	325,400,000	862,800,000	971,600,000
Breast Health | United States
Disaggregation of Revenue [Line Items]
Revenues	170,600,000	261,500,000	661,500,000	767,100,000
Breast Health | International
Disaggregation of Revenue [Line Items]
Revenues	53,400,000	63,900,000	201,300,000	204,500,000
Breast Health | Breast Imaging
Disaggregation of Revenue [Line Items]
Revenues	193,200,000	270,000,000.0	718,200,000	805,600,000
Breast Health | Breast Imaging | United States
Disaggregation of Revenue [Line Items]
Revenues	145,600,000	214,600,000	541,100,000	627,300,000
Breast Health | Breast Imaging | International
Disaggregation of Revenue [Line Items]
Revenues	47,600,000	55,400,000	177,100,000	178,300,000
Breast Health | Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Revenues	30,800,000	55,400,000	144,600,000	166,000,000.0
Breast Health | Interventional Breast Solutions | United States
Disaggregation of Revenue [Line Items]
Revenues	25,000,000.0	46,900,000	120,400,000	139,800,000
Breast Health | Interventional Breast Solutions | International
Disaggregation of Revenue [Line Items]
Revenues	5,800,000	8,500,000	24,200,000	26,200,000
GYN Surgical
Disaggregation of Revenue [Line Items]
Revenues	51,500,000	112,200,000	275,900,000	322,800,000
GYN Surgical | United States
Disaggregation of Revenue [Line Items]
Revenues	42,100,000	92,800,000	227,600,000	268,000,000.0
GYN Surgical | International
Disaggregation of Revenue [Line Items]
Revenues	9,400,000	19,400,000	48,300,000	54,800,000
Medical Aesthetics
Disaggregation of Revenue [Line Items]
Revenues	0	85,000,000.0	65,300,000	238,600,000
Medical Aesthetics | United States
Disaggregation of Revenue [Line Items]
Revenues	0	41,600,000	30,900,000	116,500,000
Medical Aesthetics | International
Disaggregation of Revenue [Line Items]
Revenues	0	43,400,000	34,400,000	122,100,000
Skeletal Health
Disaggregation of Revenue [Line Items]
Revenues	15,200,000	24,400,000	62,300,000	69,800,000
Skeletal Health | United States
Disaggregation of Revenue [Line Items]
Revenues	9,000,000.0	15,400,000	39,400,000	42,600,000
Skeletal Health | International
Disaggregation of Revenue [Line Items]
Revenues	$ 6,200,000	$ 9,000,000.0	$ 22,900,000	$ 27,200,000