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Pension Plans (Details) - Pension Plan - USD ($)
$ in Millions
3 Months Ended
Nov. 30, 2024
Nov. 30, 2023
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]    
Service cost $ 1.4 $ 1.1
Interest cost 2.4 2.5
Expected return on plan assets (2.1) (2.2)
Recognized actuarial loss 0.7 0.8
Net periodic pension cost $ 2.4 $ 2.2