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Special Charges (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
Special Charges (Details) - USD ($) $ in Millions	Feb. 28, 2021	Feb. 29, 2020	Feb. 28, 2021	Feb. 29, 2020
Restructuring Cost and Reserve [Line Items]
Special charges	$ 0.3	$ 1.6	$ 1.0	$ 8.5
Restructuring Reserve [Roll Forward]
Balance, end of period	1.2		1.2
Fiscal 2020 Actions
Restructuring Reserve [Roll Forward]
Balance, beginning of period			3.0
Severance and employee-related costs			(0.1)
Payments made during the period			(1.7)
Balance, end of period	1.2		1.2
Severance and employee-related costs
Restructuring Cost and Reserve [Line Items]
Special charges	(0.4)	0.6	(0.1)	5.7
Relocation and other restructuring costs
Restructuring Cost and Reserve [Line Items]
Special charges	$ 0.7	$ 1.0	$ 1.1	$ 2.8