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Revenue - Business Revenue (Details) - USD ($)
 3 Months Ended
Dec. 25, 2021
Dec. 26, 2020
Disaggregation of Revenue [Line Items]    
Revenues $ 1,471,100,000 $ 1,609,800,000
Contract with Customer, Liability, Revenue Recognized 56,400,000 50,700,000
United States    
Disaggregation of Revenue [Line Items]    
Revenues 1,012,400,000 1,137,800,000
International    
Disaggregation of Revenue [Line Items]    
Revenues 458,700,000 472,000,000.0
Diagnostics    
Disaggregation of Revenue [Line Items]    
Revenues 950,400,000 1,128,200,000
Diagnostics | United States    
Disaggregation of Revenue [Line Items]    
Revenues 615,300,000 763,500,000
Diagnostics | International    
Disaggregation of Revenue [Line Items]    
Revenues 335,100,000 364,700,000
Diagnostics | Cytology & Perinatal    
Disaggregation of Revenue [Line Items]    
Revenues 130,700,000 124,800,000
Diagnostics | Cytology & Perinatal | United States    
Disaggregation of Revenue [Line Items]    
Revenues 80,900,000 80,100,000
Diagnostics | Cytology & Perinatal | International    
Disaggregation of Revenue [Line Items]    
Revenues 49,800,000 44,700,000
Diagnostics | Molecular Diagnostics    
Disaggregation of Revenue [Line Items]    
Revenues 813,300,000 995,300,000
Diagnostics | Molecular Diagnostics | United States    
Disaggregation of Revenue [Line Items]    
Revenues 528,000,000.0 675,300,000
Diagnostics | Molecular Diagnostics | International    
Disaggregation of Revenue [Line Items]    
Revenues 285,300,000 320,000,000.0
Diagnostics | Blood Screening    
Disaggregation of Revenue [Line Items]    
Revenues 6,400,000 8,100,000
Diagnostics | Blood Screening | United States    
Disaggregation of Revenue [Line Items]    
Revenues 6,400,000 8,100,000
Diagnostics | Blood Screening | International    
Disaggregation of Revenue [Line Items]    
Revenues 0 0
Breast Health    
Disaggregation of Revenue [Line Items]    
Revenues 359,300,000 332,700,000
Breast Health | United States    
Disaggregation of Revenue [Line Items]    
Revenues 271,000,000.0 258,200,000
Breast Health | International    
Disaggregation of Revenue [Line Items]    
Revenues 88,300,000 74,500,000
Breast Health | Breast Imaging    
Disaggregation of Revenue [Line Items]    
Revenues 282,300,000 267,700,000
Breast Health | Breast Imaging | United States    
Disaggregation of Revenue [Line Items]    
Revenues 208,900,000 203,000,000.0
Breast Health | Breast Imaging | International    
Disaggregation of Revenue [Line Items]    
Revenues 73,400,000 64,700,000
Breast Health | Interventional Breast Solutions    
Disaggregation of Revenue [Line Items]    
Revenues 77,000,000.0 65,000,000.0
Breast Health | Interventional Breast Solutions | United States    
Disaggregation of Revenue [Line Items]    
Revenues 62,100,000 55,200,000
Breast Health | Interventional Breast Solutions | International    
Disaggregation of Revenue [Line Items]    
Revenues 14,900,000 9,800,000
GYN Surgical    
Disaggregation of Revenue [Line Items]    
Revenues 134,300,000 124,000,000.0
GYN Surgical | United States    
Disaggregation of Revenue [Line Items]    
Revenues 109,300,000 101,000,000.0
GYN Surgical | International    
Disaggregation of Revenue [Line Items]    
Revenues 25,000,000.0 23,000,000.0
Skeletal Health    
Disaggregation of Revenue [Line Items]    
Revenues 27,100,000 24,900,000
Skeletal Health | United States    
Disaggregation of Revenue [Line Items]    
Revenues 16,800,000 15,100,000
Skeletal Health | International    
Disaggregation of Revenue [Line Items]    
Revenues $ 10,300,000 $ 9,800,000