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Goodwill and Intangible Assets - Change in Goodwill (Details) - USD ($)
$ in Thousands
3 Months Ended
Nov. 30, 2022
Aug. 31, 2022
Goodwill [Roll Forward]    
Beginning balance $ 201,038 $ 201,058
Foreign currency translation adjustments (283) (20)
Ending balance 200,755 201,038
Med Tech    
Goodwill [Roll Forward]    
Beginning balance 160,509 160,529
Foreign currency translation adjustments (283) (20)
Ending balance 160,226 160,509
Med Device    
Goodwill [Roll Forward]    
Beginning balance 40,529 40,529
Foreign currency translation adjustments 0 0
Ending balance $ 40,529 $ 40,529