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Revenue - Business Revenue (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 29, 2018
Dec. 30, 2017
Disaggregation of Revenue [Line Items]    
Revenues $ 830.7 $ 791.1
United States    
Disaggregation of Revenue [Line Items]    
Revenues 621.8 597.2
International    
Disaggregation of Revenue [Line Items]    
Revenues 208.9 193.9
Diagnostics    
Disaggregation of Revenue [Line Items]    
Revenues 296.6 284.6
Diagnostics | United States    
Disaggregation of Revenue [Line Items]    
Revenues 227.5 221.2
Diagnostics | International    
Disaggregation of Revenue [Line Items]    
Revenues 69.1 63.4
Diagnostics | Cytology & Perinatal    
Disaggregation of Revenue [Line Items]    
Revenues 118.1 123.4
Diagnostics | Cytology & Perinatal | United States    
Disaggregation of Revenue [Line Items]    
Revenues 79.2 84.7
Diagnostics | Cytology & Perinatal | International    
Disaggregation of Revenue [Line Items]    
Revenues 38.9 38.7
Diagnostics | Molecular Diagnostics    
Disaggregation of Revenue [Line Items]    
Revenues 164.3 148.6
Diagnostics | Molecular Diagnostics | United States    
Disaggregation of Revenue [Line Items]    
Revenues 134.1 123.9
Diagnostics | Molecular Diagnostics | International    
Disaggregation of Revenue [Line Items]    
Revenues 30.2 24.7
Diagnostics | Blood Screening    
Disaggregation of Revenue [Line Items]    
Revenues 14.2 12.6
Diagnostics | Blood Screening | United States    
Disaggregation of Revenue [Line Items]    
Revenues 14.2 12.6
Diagnostics | Blood Screening | International    
Disaggregation of Revenue [Line Items]    
Revenues 0.0 0.0
Breast Health    
Disaggregation of Revenue [Line Items]    
Revenues 324.7 288.0
Breast Health | United States    
Disaggregation of Revenue [Line Items]    
Revenues 252.6 224.4
Breast Health | International    
Disaggregation of Revenue [Line Items]    
Revenues 72.1 63.6
Breast Health | Breast Imaging    
Disaggregation of Revenue [Line Items]    
Revenues 269.7 235.9
Breast Health | Breast Imaging | United States    
Disaggregation of Revenue [Line Items]    
Revenues 206.5 179.8
Breast Health | Breast Imaging | International    
Disaggregation of Revenue [Line Items]    
Revenues 63.2 56.1
Breast Health | Interventional Breast Solutions    
Disaggregation of Revenue [Line Items]    
Revenues 55.0 52.1
Breast Health | Interventional Breast Solutions | United States    
Disaggregation of Revenue [Line Items]    
Revenues 46.1 44.6
Breast Health | Interventional Breast Solutions | International    
Disaggregation of Revenue [Line Items]    
Revenues 8.9 7.5
Medical Aesthetics    
Disaggregation of Revenue [Line Items]    
Revenues 79.8 91.3
Medical Aesthetics | United States    
Disaggregation of Revenue [Line Items]    
Revenues 37.3 46.5
Medical Aesthetics | International    
Disaggregation of Revenue [Line Items]    
Revenues 42.5 44.8
GYN Surgical    
Disaggregation of Revenue [Line Items]    
Revenues 108.4 107.5
GYN Surgical | United States    
Disaggregation of Revenue [Line Items]    
Revenues 91.1 91.5
GYN Surgical | International    
Disaggregation of Revenue [Line Items]    
Revenues 17.3 16.0
Skeletal Health    
Disaggregation of Revenue [Line Items]    
Revenues 21.2 19.7
Skeletal Health | United States    
Disaggregation of Revenue [Line Items]    
Revenues 13.3 13.6
Skeletal Health | International    
Disaggregation of Revenue [Line Items]    
Revenues $ 7.9 $ 6.1