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Business Segment Information - Additional Information (Details) - Segment
3 Months Ended 12 Months Ended
Dec. 31, 2021
Dec. 31, 2022
Sep. 30, 2021
Sep. 30, 2020
Segment Reporting Information [Line Items]        
Number of reportable segments of entity (in segments)   4    
Sales Revenue, Net | Customer Concentration Risk | Defense | DoD        
Segment Reporting Information [Line Items]        
Percentage of sales accounted for by Department of Defense (as a percent) 93.00% 95.00% 95.00% 96.00%