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Other Comprehensive Loss (Components of Accumulated Other Comprehensive Income) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Total accumulated other comprehensive income (loss) $ 582,219 $ 482,063 $ 365,822 $ 362,016
Accumulated Foreign Currency Adjustment Attributable to Parent [Member]        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Total accumulated other comprehensive income (loss) 16,137 (5,535)    
Accumulated Defined Benefit Plans Adjustment Attributable to Parent [Member]        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Total accumulated other comprehensive income (loss) (7,474) (10,396)    
Other comprehensive income (loss), tax expense (benefit) (403) 839    
Accumulated Gain (Loss), Net, Cash Flow Hedge, Parent [Member]        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Total accumulated other comprehensive income (loss) 2,752 (4,541)    
Other comprehensive income (loss), tax expense (benefit) (135) (135)    
Accumulated 
Other Comprehensive (Loss) Income        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Total accumulated other comprehensive income (loss) $ 11,415 $ (20,472) $ (13,004) $ (9,017)