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Income Taxes (Additional Information) (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
Income Tax Disclosure [Abstract]      
Undistributed earnings of foreign subsidiaries $ 1,900.0    
Unrecognized deferred tax liability 200.0    
Accrued interest and penalties related to unrecognized tax benefits included in income tax provision 18.9 $ 20.4  
Recognized (derecognized) tax benefit, accrued interest and penalties (1.5) $ (6.7) $ 5.2
Possible adjustments for transfer pricing and certain inclusions in taxable income $ 5.8