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Goodwill and Other Intangible Assets (Additional Information) (Details) - USD ($)
3 Months Ended 12 Months Ended 48 Months Ended
Jul. 01, 2013
Aug. 31, 2019
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
Aug. 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract]            
Impairment of goodwill   $ 0        
Impairment of indefinite-lived intangible assets   $ 0        
Intangible asset amortization     $ 31,923,000 $ 38,490,000 $ 35,524,000  
Nypro | Trade names | Forecast            
Business Acquisition [Line Items]            
Useful life           4 years
Nypro | Trade names            
Business Acquisition [Line Items]            
Indefinite-lived trade name of acquired $ 72,500,000