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Segment and Geographic Information - Revenue By Geographic Segment (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Total revenue $ 1,807,159 $ 1,458,415 $ 1,255,631
Operating Segments      
Total revenue 1,807,159 1,458,415 1,255,631
Americas | Operating Segments      
Total revenue 766,021 649,383 537,548
Europe | Operating Segments      
Total revenue 722,977 543,779 464,666
Asia Pacific | Operating Segments      
Total revenue $ 318,161 $ 265,253 $ 253,417