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Goodwill and Other Intangible Assets (Narrative) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Finite-Lived Intangible Assets [Line Items]      
Amortization expense related to intangible assets $ 18,328 $ 16,338 $ 11,630
Estimated intangible asset amortization for 2021 $ 19,000    
Customer Relationships [Member] | Maximum [Member]      
Finite-Lived Intangible Assets [Line Items]      
Expected remaining useful life 20 years    
Customer Relationships [Member] | Minimum [Member]      
Finite-Lived Intangible Assets [Line Items]      
Expected remaining useful life 15 years    
Patents [Member]      
Finite-Lived Intangible Assets [Line Items]      
Expected remaining useful life 17 years    
Capitalized Software [Member] | Maximum [Member]      
Finite-Lived Intangible Assets [Line Items]      
Expected remaining useful life 7 years    
Capitalized Software [Member] | Minimum [Member]      
Finite-Lived Intangible Assets [Line Items]      
Expected remaining useful life 3 years