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Pension Plans (Details) - Pension Plan - USD ($)
$ in Millions
3 Months Ended
Nov. 30, 2020
Nov. 30, 2019
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]    
Service cost $ 1.2 $ 1.2
Interest cost 1.6 1.8
Expected return on plan assets (3.3) (3.1)
Amortization of prior service cost 0.7 1.0
Recognized actuarial loss 1.4 1.4
Net periodic pension cost $ 1.6 $ 2.3