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Revenue - Business Revenue (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 30, 2024
Apr. 01, 2023
Mar. 30, 2024
Apr. 01, 2023
Disaggregation of Revenue [Line Items]        
Revenues $ 1,017.8 $ 1,026.5 $ 2,030.9 $ 2,100.7
United States        
Disaggregation of Revenue [Line Items]        
Revenues 759.4 768.7 1,513.1 1,592.3
International        
Disaggregation of Revenue [Line Items]        
Revenues 258.4 257.8 517.8 508.4
Diagnostics        
Disaggregation of Revenue [Line Items]        
Revenues 450.1 464.7 897.9 1,024.0
Diagnostics | United States        
Disaggregation of Revenue [Line Items]        
Revenues 333.0 342.6 658.3 756.3
Diagnostics | International        
Disaggregation of Revenue [Line Items]        
Revenues 117.1 122.1 239.6 267.7
Diagnostics | Cytology & Perinatal        
Disaggregation of Revenue [Line Items]        
Revenues 120.5 111.9 240.5 238.6
Diagnostics | Cytology & Perinatal | United States        
Disaggregation of Revenue [Line Items]        
Revenues 70.7 69.0 140.5 147.1
Diagnostics | Cytology & Perinatal | International        
Disaggregation of Revenue [Line Items]        
Revenues 49.8 42.9 100.0 91.5
Diagnostics | Molecular Diagnostics        
Disaggregation of Revenue [Line Items]        
Revenues 322.7 342.2 642.5 767.5
Diagnostics | Molecular Diagnostics | United States        
Disaggregation of Revenue [Line Items]        
Revenues 255.4 263.0 502.9 591.3
Diagnostics | Molecular Diagnostics | International        
Disaggregation of Revenue [Line Items]        
Revenues 67.3 79.2 139.6 176.2
Diagnostics | Blood Screening        
Disaggregation of Revenue [Line Items]        
Revenues 6.9 10.6 14.9 17.9
Diagnostics | Blood Screening | United States        
Disaggregation of Revenue [Line Items]        
Revenues 6.9 10.6 14.9 17.9
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 384.6 385.4 762.3 719.5
Breast Health | United States        
Disaggregation of Revenue [Line Items]        
Revenues 295.3 293.3 584.8 563.3
Breast Health | International        
Disaggregation of Revenue [Line Items]        
Revenues 89.3 92.1 177.5 156.2
Breast Health | Breast Imaging        
Disaggregation of Revenue [Line Items]        
Revenues 306.7 311.5 608.1 575.9
Breast Health | Breast Imaging | United States        
Disaggregation of Revenue [Line Items]        
Revenues 234.9 233.5 463.3 445.8
Breast Health | Breast Imaging | International        
Disaggregation of Revenue [Line Items]        
Revenues 71.8 78.0 144.8 130.1
Breast Health | Interventional Breast Solutions        
Disaggregation of Revenue [Line Items]        
Revenues 77.9 73.9 154.2 143.6
Breast Health | Interventional Breast Solutions | United States        
Disaggregation of Revenue [Line Items]        
Revenues 60.4 59.8 121.5 117.5
Breast Health | Interventional Breast Solutions | International        
Disaggregation of Revenue [Line Items]        
Revenues 17.5 14.1 32.7 26.1
GYN Surgical        
Disaggregation of Revenue [Line Items]        
Revenues 156.0 144.8 318.2 298.9
GYN Surgical | United States        
Disaggregation of Revenue [Line Items]        
Revenues 115.6 113.6 240.8 236.7
GYN Surgical | International        
Disaggregation of Revenue [Line Items]        
Revenues 40.4 31.2 77.4 62.2
Skeletal Health        
Disaggregation of Revenue [Line Items]        
Revenues 27.1 31.6 52.5 58.3
Skeletal Health | United States        
Disaggregation of Revenue [Line Items]        
Revenues 15.5 19.2 29.2 36.0
Skeletal Health | International        
Disaggregation of Revenue [Line Items]        
Revenues $ 11.6 $ 12.4 $ 23.3 $ 22.3