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Revenue (Contract Assets and Liabilities) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Revenue from Contract with Customer [Abstract]      
Contract assets $ 80,759 $ 73,467 $ 69,147
Cumulative effect of adoption of new accounting standards 0 6,106  
Recognized in current period 347,660 325,289  
Reclassified to accounts receivable (342,371) (302,055)  
Contract with Customer, Asset, increase (decrease) for contract divested in sale of business 2,710 (13,025)  
Foreign currency (707) 217  
Contract liabilities 26,259 39,051 $ 17,652
Cumulative effect of adoption of new accounting standards 0 1,773  
Recognized in current period 322,595 319,722  
Amounts in beginning balance reclassified to revenue (39,100) (20,754)  
Current period amounts reclassified to revenue (295,085) (276,002)  
Contract with Customer, Liability, increase (decrease) for contract divested in sale of business (700) (1,302)  
Foreign currency $ (502) $ (2,038)