Revenue - Business Revenue (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Mar. 28, 2020	Mar. 30, 2019	Mar. 28, 2020	Mar. 30, 2019
Disaggregation of Revenue [Line Items]
Revenues	$ 756.1	$ 818.4	$ 1,606.6	$ 1,649.1
United States
Disaggregation of Revenue [Line Items]
Revenues	574.9	615.5	1,207.6	1,237.2
International
Disaggregation of Revenue [Line Items]
Revenues	181.2	202.9	399.0	411.9
Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	319.2	296.7	630.7	593.3
Diagnostics \| United States
Disaggregation of Revenue [Line Items]
Revenues	238.2	226.8	469.8	454.3
Diagnostics \| International
Disaggregation of Revenue [Line Items]
Revenues	81.0	69.9	160.9	139.0
Diagnostics \| Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Revenues	113.4	115.5	234.4	233.6
Diagnostics \| Cytology & Perinatal \| United States
Disaggregation of Revenue [Line Items]
Revenues	73.2	76.6	150.7	155.8
Diagnostics \| Cytology & Perinatal \| International
Disaggregation of Revenue [Line Items]
Revenues	40.2	38.9	83.7	77.8
Diagnostics \| Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Revenues	190.6	167.8	369.1	332.1
Diagnostics \| Molecular Diagnostics \| United States
Disaggregation of Revenue [Line Items]
Revenues	149.8	136.8	291.9	270.9
Diagnostics \| Molecular Diagnostics \| International
Disaggregation of Revenue [Line Items]
Revenues	40.8	31.0	77.2	61.2
Diagnostics \| Blood Screening
Disaggregation of Revenue [Line Items]
Revenues	15.2	13.4	27.2	27.6
Diagnostics \| Blood Screening \| United States
Disaggregation of Revenue [Line Items]
Revenues	15.2	13.4	27.2	27.6
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	307.8	321.5	638.9	646.2
Breast Health \| United States
Disaggregation of Revenue [Line Items]
Revenues	234.4	253.0	490.9	505.6
Breast Health \| International
Disaggregation of Revenue [Line Items]
Revenues	73.4	68.5	148.0	140.6
Breast Health \| Breast Imaging
Disaggregation of Revenue [Line Items]
Revenues	250.2	265.9	525.0	535.6
Breast Health \| Breast Imaging \| United States
Disaggregation of Revenue [Line Items]
Revenues	186.0	206.2	395.4	412.7
Breast Health \| Breast Imaging \| International
Disaggregation of Revenue [Line Items]
Revenues	64.2	59.7	129.6	122.9
Breast Health \| Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Revenues	57.6	55.6	113.9	110.6
Breast Health \| Interventional Breast Solutions \| United States
Disaggregation of Revenue [Line Items]
Revenues	48.4	46.8	95.5	92.9
Breast Health \| Interventional Breast Solutions \| International
Disaggregation of Revenue [Line Items]
Revenues	9.2	8.8	18.4	17.7
GYN Surgical
Disaggregation of Revenue [Line Items]
Revenues	105.4	102.2	224.5	210.6
GYN Surgical \| United States
Disaggregation of Revenue [Line Items]
Revenues	86.7	84.1	185.5	175.2
GYN Surgical \| International
Disaggregation of Revenue [Line Items]
Revenues	18.7	18.1	39.0	35.4
Medical Aesthetics
Disaggregation of Revenue [Line Items]
Revenues	0.0	73.8	65.3	153.6
Medical Aesthetics \| United States
Disaggregation of Revenue [Line Items]
Revenues	0.0	37.6	30.9	74.9
Medical Aesthetics \| International
Disaggregation of Revenue [Line Items]
Revenues	0.0	36.2	34.4	78.7
Skeletal Health
Disaggregation of Revenue [Line Items]
Revenues	23.7	24.2	47.2	45.4
Skeletal Health \| United States
Disaggregation of Revenue [Line Items]
Revenues	15.6	14.0	30.5	27.2
Skeletal Health \| International
Disaggregation of Revenue [Line Items]
Revenues	$ 8.1	$ 10.2	$ 16.7	$ 18.2