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Income Taxes - Additional information (Detail) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
Operating Loss Carryforwards [Line Items]            
Income tax and earnings from unconsolidated affiliates,Domestic u.s. operations $ 111.4 $ 32.2 $ 12.4      
Income tax and earnings from unconsolidated affiliates,Foreign operations $ 112.3 $ 58.8 $ 48.2      
Statutory federal corporate tax rate 21.00% 21.00% 21.00% 21.00% 25.70% 35.00%
Carryback of 2021 loss $ 22.8          
Deferred tax assets, valuation allowance 15.9 $ 9.6        
Net increase (decrease) in the valuation allowance 6.3          
Accrued interest related to uncertain tax provisions 0.8 0.6        
Increase (reduction) in interest expense relating to reserves for uncertain tax provisions 0.2 $ 0.5 $ (0.3)      
Federal            
Operating Loss Carryforwards [Line Items]            
Credit carryforwards 15.4          
Operating loss carryforwards that do not expire 67.4          
State            
Operating Loss Carryforwards [Line Items]            
Operating loss carryforwards $ 193.0          
Operating loss carryforwards expiration year 2029          
Credit carryforwards $ 0.9          
Credit carryforwards expiration year 2025          
Foreign            
Operating Loss Carryforwards [Line Items]            
Operating loss carryforwards $ 9.9          
Operating loss carryforwards expiration year 2024          
Operating loss carryforwards that do not expire $ 26.2