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Business Segments and Geographic Information - Segment Information (Detail) - USD ($)
$ in Millions
 3 Months Ended
Dec. 30, 2023
Dec. 31, 2022
Sep. 30, 2023
Segment Reporting Information [Line Items]      
Total revenues $ 1,013.1 $ 1,074.2  
Income (loss) from operations 198.2 262.4  
Depreciation and amortization 88.4 85.9  
Capital expenditures 38.0 29.1  
Identifiable assets 8,469.5   $ 9,139.3
Diagnostics      
Segment Reporting Information [Line Items]      
Total revenues 447.8 559.3  
Income (loss) from operations 49.4 151.1  
Depreciation and amortization 65.9 59.9  
Capital expenditures 24.2 15.9  
Identifiable assets 2,570.1   2,596.4
Breast Health      
Segment Reporting Information [Line Items]      
Total revenues 377.7 334.2  
Income (loss) from operations 102.2 60.5  
Depreciation and amortization 10.3 13.6  
Capital expenditures 9.3 7.2  
Identifiable assets 1,234.1   1,170.1
GYN Surgical      
Segment Reporting Information [Line Items]      
Total revenues 162.2 154.1  
Income (loss) from operations 43.2 48.8  
Depreciation and amortization 12.0 12.3  
Capital expenditures 4.2 3.9  
Identifiable assets 1,450.1   1,455.4
Skeletal Health      
Segment Reporting Information [Line Items]      
Total revenues 25.4 26.6  
Income (loss) from operations 3.4 2.0  
Depreciation and amortization 0.2 0.1  
Capital expenditures 0.1 0.1  
Identifiable assets 30.3   33.7
Corporate      
Segment Reporting Information [Line Items]      
Capital expenditures 0.2 $ 2.0  
Identifiable assets $ 3,184.9   $ 3,883.7