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Other Comprehensive Loss Components of Accumulated Other Comprehensive Income (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Oct. 01, 2019
Sep. 30, 2018
Sep. 30, 2017
Accumulated Other Comprehensive Income (Loss) [Line Items]          
Total accumulated other comprehensive loss $ 482,063 $ 365,822 $ 364,485 $ 362,016 $ 216,575
Accumulated Foreign Currency Adjustment Attributable to Parent [Member]          
Accumulated Other Comprehensive Income (Loss) [Line Items]          
Total accumulated other comprehensive loss (5,535) (2,705)      
Accumulated Defined Benefit Plans Adjustment Attributable to Parent [Member]          
Accumulated Other Comprehensive Income (Loss) [Line Items]          
Total accumulated other comprehensive loss (10,396) (10,475)      
Other comprehensive income (loss), tax expense (benefit) 839 776      
Accumulated Gain (Loss), Net, Cash Flow Hedge, Parent [Member]          
Accumulated Other Comprehensive Income (Loss) [Line Items]          
Total accumulated other comprehensive loss (4,541) 176      
Other comprehensive income (loss), tax expense (benefit) 135 135      
Accumulated Other Comprehensive Loss          
Accumulated Other Comprehensive Income (Loss) [Line Items]          
Total accumulated other comprehensive loss $ (20,472) $ (13,004)   $ (9,017) $ (5,989)