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Pension Plans (Details) - Pension Plan - USD ($)
$ in Millions
3 Months Ended
Nov. 30, 2023
Nov. 30, 2022
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]    
Service cost $ 1.1 $ 1.1
Interest cost 2.5 2.2
Expected return on plan assets (2.2) (2.4)
Amortization of prior service cost 0.0 0.7
Recognized actuarial loss 0.8 0.8
Net periodic pension cost $ 2.2 $ 2.4