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Business Segments and Geographic Information - Segment Information (Detail) - USD ($)
$ in Millions
 3 Months Ended
Dec. 28, 2024
Dec. 30, 2023
Sep. 28, 2024
Segment Reporting Information [Line Items]      
Total revenues $ 1,021.8 $ 1,013.1  
Income (loss) from operations 229.8 198.2  
Depreciation and amortization 74.0 88.4  
Capital expenditures 31.6 38.0  
Identifiable assets 8,728.7   $ 9,156.0
Diagnostics      
Segment Reporting Information [Line Items]      
Total revenues 470.6 447.8  
Income (loss) from operations 118.9 49.4  
Depreciation and amortization 48.6 65.9  
Capital expenditures 17.8 24.2  
Identifiable assets 2,412.9   2,431.3
Breast Health      
Segment Reporting Information [Line Items]      
Total revenues 369.1 377.7  
Income (loss) from operations 67.5 102.2  
Depreciation and amortization 13.2 10.3  
Capital expenditures 8.9 9.3  
Identifiable assets 1,556.8   1,588.9
GYN Surgical      
Segment Reporting Information [Line Items]      
Total revenues 166.3 162.2  
Income (loss) from operations 46.6 43.2  
Depreciation and amortization 12.0 12.0  
Capital expenditures 3.7 4.2  
Identifiable assets 1,429.0   1,419.9
Skeletal Health      
Segment Reporting Information [Line Items]      
Total revenues 15.8 25.4  
Income (loss) from operations (3.2) 3.4  
Depreciation and amortization 0.2 0.2  
Capital expenditures 0.0 0.1  
Identifiable assets 44.7   48.3
Corporate      
Segment Reporting Information [Line Items]      
Capital expenditures 1.2 $ 0.2  
Identifiable assets $ 3,285.3   $ 3,667.6