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Goodwill and Intangible Assets Goodwill, Changes in Carrying values (Details) - USD ($)
$ in Thousands
6 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Goodwill [Line Items]    
Document Period End Date Mar. 31, 2019  
Balance as of September 30, 2018 $ 3,247,105  
Acquisitions   $ 6,800
Purchase accounting adjustments (267)  
Effect of foreign currency translation (8,428)  
Balance at March 31, 2019 3,238,410  
Healthcare    
Goodwill [Line Items]    
Balance as of September 30, 2018 1,430,325  
Purchase accounting adjustments 88  
Effect of foreign currency translation (2,448)  
Balance at March 31, 2019 1,427,965  
Enterprise    
Goodwill [Line Items]    
Balance as of September 30, 2018 683,347  
Purchase accounting adjustments 0  
Effect of foreign currency translation (2,406)  
Balance at March 31, 2019 680,941  
Automotive    
Goodwill [Line Items]    
Balance as of September 30, 2018 1,119,947  
Purchase accounting adjustments (355)  
Effect of foreign currency translation (3,139)  
Balance at March 31, 2019 1,116,453 $ 1,080,500
Other    
Goodwill [Line Items]    
Balance as of September 30, 2018 13,486  
Purchase accounting adjustments 0  
Effect of foreign currency translation (435)  
Balance at March 31, 2019 $ 13,051