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Other Intangible Assets (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Finite-Lived Intangible Assets [Line Items]    
Acquired finite-lived intangible assets, weighted average useful life 8 years  
Carrying amount, finite-lived intangible assets $ 472,266 $ 467,455
Accumulated Amortization (191,706) (161,254)
Total 280,560 306,201
Indefinite‑lived intangible assets 34,207 34,207
Carrying amount, intangible assets 506,473 501,662
Intangible assets, net $ 314,767 340,408
Customer related    
Finite-Lived Intangible Assets [Line Items]    
Acquired finite-lived intangible assets, weighted average useful life 11 years  
Carrying amount, finite-lived intangible assets $ 290,407 292,115
Accumulated Amortization (64,548) (47,348)
Total $ 225,859 244,767
Proprietary technology    
Finite-Lived Intangible Assets [Line Items]    
Acquired finite-lived intangible assets, weighted average useful life 5 years  
Carrying amount, finite-lived intangible assets $ 50,725 49,315
Accumulated Amortization (24,187) (19,685)
Total $ 26,538 $ 29,630
Finite-lived intangible asset, useful life 10 years 10 years
Trademark    
Finite-Lived Intangible Assets [Line Items]    
Acquired finite-lived intangible assets, weighted average useful life 7 years  
Carrying amount, finite-lived intangible assets $ 26,432 $ 26,535
Accumulated Amortization (6,245) (3,563)
Total 20,187 22,972
Backlog    
Finite-Lived Intangible Assets [Line Items]    
Carrying amount, finite-lived intangible assets 81,834 82,315
Accumulated Amortization (81,834) (81,764)
Total $ 0 $ 551
Finite-lived intangible asset, useful life 1 year 1 year
Other    
Finite-Lived Intangible Assets [Line Items]    
Acquired finite-lived intangible assets, weighted average useful life 2 years  
Carrying amount, finite-lived intangible assets $ 22,868 $ 17,175
Accumulated Amortization (14,892) (8,894)
Total $ 7,976 $ 8,281
Finite-lived intangible asset, useful life 3 years 4 years
Minimum [Member]    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible asset, useful life 1 year  
Minimum [Member] | Customer related    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible asset, useful life 5 years 5 years
Minimum [Member] | Trademark    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible asset, useful life 10 years 10 years
Maximum [Member]    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible asset, useful life 26 years  
Maximum [Member] | Customer related    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible asset, useful life 26 years 26 years
Maximum [Member] | Trademark    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible asset, useful life 15 years 15 years