Revenue - Business Revenue (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jun. 29, 2019	Jun. 30, 2018	Jun. 29, 2019	Jun. 30, 2018
Disaggregation of Revenue [Line Items]
Revenues	$ 852.4	$ 824.0	$ 2,501.4	$ 2,404.5
United States
Disaggregation of Revenue [Line Items]
Revenues	642.5	616.7	1,879.7	1,802.5
International
Disaggregation of Revenue [Line Items]
Revenues	209.9	207.3	621.7	602.0
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	305.4	294.2	898.6	858.5
Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	231.2	224.8	685.5	659.5
Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	74.2	69.4	213.1	199.0
Diagnostics | Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Revenues	120.3	121.1	353.9	362.2
Diagnostics | Cytology & Perinatal | United States
Disaggregation of Revenue [Line Items]
Revenues	78.5	79.6	234.3	242.8
Diagnostics | Cytology & Perinatal | International
Disaggregation of Revenue [Line Items]
Revenues	41.8	41.5	119.6	119.4
Diagnostics | Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	170.9	154.5	502.9	453.8
Diagnostics | Molecular Diagnostics | United States
Disaggregation of Revenue [Line Items]
Revenues	138.5	126.6	409.4	374.2
Diagnostics | Molecular Diagnostics | International
Disaggregation of Revenue [Line Items]
Revenues	32.4	27.9	93.5	79.6
Diagnostics | Blood Screening
Disaggregation of Revenue [Line Items]
Revenues	14.2	18.6	41.8	42.5
Diagnostics | Blood Screening | United States
Disaggregation of Revenue [Line Items]
Revenues	14.2	18.6	41.8	42.5
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	325.4	307.9	971.6	896.0
Breast Health | United States
Disaggregation of Revenue [Line Items]
Revenues	261.5	240.0	767.1	696.9
Breast Health | International
Disaggregation of Revenue [Line Items]
Revenues	63.9	67.9	204.5	199.1
Breast Health | Breast Imaging
Disaggregation of Revenue [Line Items]
Revenues	270.0	256.9	805.6	743.2
Breast Health | Breast Imaging | United States
Disaggregation of Revenue [Line Items]
Revenues	214.6	197.2	627.3	568.7
Breast Health | Breast Imaging | International
Disaggregation of Revenue [Line Items]
Revenues	55.4	59.7	178.3	174.5
Breast Health | Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Revenues	55.4	51.0	166.0	152.8
Breast Health | Interventional Breast Solutions | United States
Disaggregation of Revenue [Line Items]
Revenues	46.9	42.8	139.8	128.2
Breast Health | Interventional Breast Solutions | International
Disaggregation of Revenue [Line Items]
Revenues	8.5	8.2	26.2	24.6
Medical Aesthetics
Disaggregation of Revenue [Line Items]
Revenues	85.0	91.7	238.6	268.5
Medical Aesthetics | United States
Disaggregation of Revenue [Line Items]
Revenues	41.6	48.3	116.5	139.3
Medical Aesthetics | International
Disaggregation of Revenue [Line Items]
Revenues	43.4	43.4	122.1	129.2
GYN Surgical
Disaggregation of Revenue [Line Items]
Revenues	112.2	107.7	322.8	314.7
GYN Surgical | United States
Disaggregation of Revenue [Line Items]
Revenues	92.8	89.0	268.0	262.9
GYN Surgical | International
Disaggregation of Revenue [Line Items]
Revenues	19.4	18.7	54.8	51.8
Skeletal Health
Disaggregation of Revenue [Line Items]
Revenues	24.4	22.5	69.8	66.8
Skeletal Health | United States
Disaggregation of Revenue [Line Items]
Revenues	15.4	14.6	42.6	43.9
Skeletal Health | International
Disaggregation of Revenue [Line Items]
Revenues	$ 9.0	$ 7.9	$ 27.2	$ 22.9