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Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss (AOCL), Net of Tax (Detail)
$ in Millions
 6 Months Ended
Feb. 28, 2025
USD ($)
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance $ 1,536.6
Ending balance 1,620.5
Unrealized Gain (Loss) on Derivative Financial Instruments  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance 15.2
Other comprehensive gain (loss) before reclassifications 10.9
Amounts reclassified from AOCL (6.9)
Ending balance 19.2
Foreign Currency Translation Adjustment  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (47.0)
Other comprehensive gain (loss) before reclassifications (11.2)
Ending balance (58.2)
Other  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (2.2)
Other comprehensive gain (loss) before reclassifications 0.4
Ending balance (1.8)
AOCL  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (34.0)
Other comprehensive gain (loss) before reclassifications 0.1
Amounts reclassified from AOCL (6.9)
Ending balance $ (40.8)