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Special Charges (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended	9 Months Ended
Special Charges (Details) - USD ($) $ in Millions	May 31, 2020	May 31, 2019	Feb. 29, 2020	May 31, 2020	May 31, 2019
Restructuring Cost and Reserve [Line Items]
Special charges	$ 3.3	$ (0.1)	$ 8.5	$ 11.8	$ 1.3
Restructuring Reserve [Roll Forward]
Balance, beginning of period			1.9	1.9
Severance costs				8.1
Payments made during the period				(5.8)
Balance, end of period	4.2			4.2
Fiscal 2020 Actions
Restructuring Reserve [Roll Forward]
Balance, beginning of period			0.0	0.0
Severance costs				8.2
Payments made during the period				(4.2)
Balance, end of period	4.0			4.0
Fiscal 2019 Actions
Restructuring Reserve [Roll Forward]
Balance, beginning of period			1.3	1.3
Severance costs				0.1
Payments made during the period				(1.2)
Balance, end of period	0.2			0.2
Fiscal 2018 Actions
Restructuring Reserve [Roll Forward]
Balance, beginning of period			$ 0.6	0.6
Severance costs				(0.2)
Payments made during the period				(0.4)
Balance, end of period	0.0			0.0
Severance and employee-related costs
Restructuring Cost and Reserve [Line Items]
Special charges	2.4	0.0		8.1	(0.8)
Other restructuring costs
Restructuring Cost and Reserve [Line Items]
Special charges	$ 0.9	$ (0.1)		$ 3.7	$ 2.1