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Revenue - Business Revenue (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2022
Dec. 25, 2021
Disaggregation of Revenue [Line Items]    
Revenues $ 1,074.2 $ 1,471.1
Contract with Customer, Liability, Revenue Recognized 66.8 56.4
United States    
Disaggregation of Revenue [Line Items]    
Revenues 823.6 1,012.4
International    
Disaggregation of Revenue [Line Items]    
Revenues 250.6 458.7
Diagnostics    
Disaggregation of Revenue [Line Items]    
Revenues 559.3 950.4
Diagnostics | United States    
Disaggregation of Revenue [Line Items]    
Revenues 413.7 615.3
Diagnostics | International    
Disaggregation of Revenue [Line Items]    
Revenues 145.6 335.1
Diagnostics | Cytology & Perinatal    
Disaggregation of Revenue [Line Items]    
Revenues 126.8 130.7
Diagnostics | Cytology & Perinatal | United States    
Disaggregation of Revenue [Line Items]    
Revenues 78.2 80.9
Diagnostics | Cytology & Perinatal | International    
Disaggregation of Revenue [Line Items]    
Revenues 48.6 49.8
Diagnostics | Molecular Diagnostics    
Disaggregation of Revenue [Line Items]    
Revenues 425.2 813.3
Diagnostics | Molecular Diagnostics | United States    
Disaggregation of Revenue [Line Items]    
Revenues 328.2 528.0
Diagnostics | Molecular Diagnostics | International    
Disaggregation of Revenue [Line Items]    
Revenues 97.0 285.3
Diagnostics | Blood Screening    
Disaggregation of Revenue [Line Items]    
Revenues 7.3 6.4
Diagnostics | Blood Screening | United States    
Disaggregation of Revenue [Line Items]    
Revenues 7.3 6.4
Diagnostics | Blood Screening | International    
Disaggregation of Revenue [Line Items]    
Revenues 0.0 0.0
Breast Health    
Disaggregation of Revenue [Line Items]    
Revenues 334.2 359.3
Breast Health | United States    
Disaggregation of Revenue [Line Items]    
Revenues 270.0 271.0
Breast Health | International    
Disaggregation of Revenue [Line Items]    
Revenues 64.2 88.3
Breast Health | Breast Imaging    
Disaggregation of Revenue [Line Items]    
Revenues 264.4 282.3
Breast Health | Breast Imaging | United States    
Disaggregation of Revenue [Line Items]    
Revenues 212.2 208.9
Breast Health | Breast Imaging | International    
Disaggregation of Revenue [Line Items]    
Revenues 52.2 73.4
Breast Health | Interventional Breast Solutions    
Disaggregation of Revenue [Line Items]    
Revenues 69.8 77.0
Breast Health | Interventional Breast Solutions | United States    
Disaggregation of Revenue [Line Items]    
Revenues 57.8 62.1
Breast Health | Interventional Breast Solutions | International    
Disaggregation of Revenue [Line Items]    
Revenues 12.0 14.9
GYN Surgical    
Disaggregation of Revenue [Line Items]    
Revenues 154.1 134.3
GYN Surgical | United States    
Disaggregation of Revenue [Line Items]    
Revenues 123.1 109.3
GYN Surgical | International    
Disaggregation of Revenue [Line Items]    
Revenues 31.0 25.0
Skeletal Health    
Disaggregation of Revenue [Line Items]    
Revenues 26.6 27.1
Skeletal Health | United States    
Disaggregation of Revenue [Line Items]    
Revenues 16.8 16.8
Skeletal Health | International    
Disaggregation of Revenue [Line Items]    
Revenues $ 9.8 $ 10.3