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Discontinued Operations, Goodwill, and Intangible Assets - Intangible Assets (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Identifiable intangible assets with finite useful lives    
Intangible Assets, Net $ 54,867 $ 76,917
Backlog and customer relationships    
Identifiable intangible assets with finite useful lives    
Gross Amount 663,400 662,800
Accumulated Amortization (608,500) (585,900)
Intangible Assets, Net $ 54,900 $ 76,900
Backlog and customer relationships | Minimum    
Identifiable intangible assets with finite useful lives    
Amortization Period 1 year  
Backlog and customer relationships | Maximum    
Identifiable intangible assets with finite useful lives    
Amortization Period 11 years