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Business Segments and Geographic Information - Segment Information (Detail) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended
Mar. 30, 2024
Apr. 01, 2023
Mar. 30, 2024
Apr. 01, 2023
Sep. 30, 2023
Segment Reporting Information [Line Items]          
Total revenues $ 1,017.8 $ 1,026.5 $ 2,030.9 $ 2,100.7  
Income (loss) from operations 210.4 272.1 408.6 534.5  
Depreciation and amortization 73.7 80.8 162.1 166.7  
Capital expenditures 28.0 32.1 66.0 61.2  
Identifiable assets 8,714.4   8,714.4   $ 9,139.3
Diagnostics          
Segment Reporting Information [Line Items]          
Total revenues 450.1 464.7 897.9 1,024.0  
Income (loss) from operations 71.1 105.3 120.5 256.4  
Depreciation and amortization 51.5 56.1 117.4 116.0  
Capital expenditures 19.8 20.2 44.0 36.1  
Identifiable assets 2,520.1   2,520.1   2,596.4
Breast Health          
Segment Reporting Information [Line Items]          
Total revenues 384.6 385.4 762.3 719.5  
Income (loss) from operations 91.7 109.9 193.8 170.4  
Depreciation and amortization 10.0 12.9 20.3 26.5  
Capital expenditures 5.4 6.9 14.7 14.1  
Identifiable assets 1,212.9   1,212.9   1,170.1
GYN Surgical          
Segment Reporting Information [Line Items]          
Total revenues 156.0 144.8 318.2 298.9  
Income (loss) from operations 44.3 52.3 87.6 101.0  
Depreciation and amortization 12.1 11.6 24.1 23.9  
Capital expenditures 2.5 2.8 6.7 6.7  
Identifiable assets 1,440.2   1,440.2   1,455.4
Skeletal Health          
Segment Reporting Information [Line Items]          
Total revenues 27.1 31.6 52.5 58.3  
Income (loss) from operations 3.3 4.6 6.7 6.7  
Depreciation and amortization 0.1 0.2 0.3 0.3  
Capital expenditures 0.3 0.1 0.4 0.2  
Identifiable assets 30.8   30.8   33.7
Corporate          
Segment Reporting Information [Line Items]          
Capital expenditures 0.0 $ 2.1 0.2 $ 4.1  
Identifiable assets $ 3,510.4   $ 3,510.4   $ 3,883.7