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Segment and Geographic Information - Revenue By Geographic Segment (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Total revenue $ 1,458,415 $ 1,255,631 $ 1,241,824
Operating Segments      
Total revenue 1,458,415 1,255,631 1,241,824
Calculated under Revenue Guidance in Effect before Topic 606      
Total revenue   1,311,494 1,241,824
Calculated under Revenue Guidance in Effect before Topic 606 | Operating Segments      
Total revenue   1,311,494  
Americas | Operating Segments      
Total revenue 649,383 537,548 511,237
Americas | Calculated under Revenue Guidance in Effect before Topic 606 | Operating Segments      
Total revenue   565,362  
Europe | Operating Segments      
Total revenue 543,779 464,666 485,851
Europe | Calculated under Revenue Guidance in Effect before Topic 606 | Operating Segments      
Total revenue   494,864  
Asia Pacific | Operating Segments      
Total revenue $ 265,253 253,417 $ 244,736
Asia Pacific | Calculated under Revenue Guidance in Effect before Topic 606 | Operating Segments      
Total revenue   $ 251,268