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Pension Plans (Details) - Pension Plan - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 28, 2025
Feb. 29, 2024
Feb. 28, 2025
Feb. 29, 2024
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]        
Service cost $ 1.3 $ 1.2 $ 2.7 $ 2.3
Interest cost 2.4 2.4 4.8 4.9
Expected return on plan assets (2.1) (2.2) (4.2) (4.4)
Recognized actuarial loss 0.6 0.8 1.3 1.6
Net periodic pension cost $ 2.2 $ 2.2 $ 4.6 $ 4.4