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Summary of Significant Accounting Policies - Components of Accumulated Other Comprehensive Loss, Net of Tax (Detail) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2025
Aug. 31, 2024
Aug. 31, 2023
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning balance $ 1,536.6    
Ending balance 1,697.7 $ 1,536.6  
Unrealized Gain (Loss) on Derivative Financial Instruments      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning balance 15.2 27.0 $ 13.0
Other comprehensive income (loss) before reclassifications 7.3 2.9 23.1
Amounts reclassified from AOCL (13.5) (14.7) (9.1)
Ending balance 9.0 15.2 27.0
Foreign Currency Translation Adjustment      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning balance (47.0) (32.1) (57.4)
Other comprehensive income (loss) before reclassifications 9.6 (14.9) 25.3
Ending balance (37.4) (47.0) (32.1)
Other      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning balance (2.2) (2.2) (1.2)
Other comprehensive income (loss) before reclassifications (0.6)   (1.0)
Ending balance (2.8) (2.2) (2.2)
AOCL      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning balance (34.0) (7.3) (45.6)
Other comprehensive income (loss) before reclassifications 16.3 (12.0) 47.4
Amounts reclassified from AOCL (13.5) (14.7) (9.1)
Ending balance $ (31.2) $ (34.0) $ (7.3)