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Goodwill - Changes in the Carrying Amount of Goodwill by Segment (Details)
$ in Thousands
3 Months Ended
Nov. 30, 2021
USD ($)
Goodwill [Roll Forward]  
Beginning Balance $ 754,205
Acquisitions 39,941
Foreign currency translations (11,121)
Ending Balance 783,025
Americas  
Goodwill [Roll Forward]  
Beginning Balance 430,088
Acquisitions 39,454
Foreign currency translations 0
Ending Balance 469,542
EMEA  
Goodwill [Roll Forward]  
Beginning Balance 321,150
Acquisitions 487
Foreign currency translations (11,040)
Ending Balance 310,597
Asia Pacific  
Goodwill [Roll Forward]  
Beginning Balance 2,967
Acquisitions 0
Foreign currency translations (81)
Ending Balance $ 2,886