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Fair Value Measurements (Details) - USD ($) $ in Millions	9 Months Ended
Fair Value Measurements (Details) - USD ($) $ in Millions	May 31, 2021	May 31, 2020	Aug. 31, 2020
Fair Value Disclosures [Abstract]
Cash and cash equivalents	$ 593.5		$ 560.7
Liabilities:
Asset impairment	4.0	$ 1.4
Carrying Value
Liabilities:
Investments in unconsolidated affiliates	7.3		6.0
Carrying Value \| Unsecured debt \| Senior unsecured public notes, net of unamortized discount and deferred costs
Liabilities:
Carrying and estimated fair values of financial instruments	494.2		0.0
Carrying Value \| Unsecured debt \| Unsecured Delayed Draw Term Loan
Liabilities:
Carrying and estimated fair values of financial instruments	0.0		395.0
Carrying Value \| Industrial revenue bond \| Industrial Revenue Bond Maturing in 2021 [Member]
Liabilities:
Carrying and estimated fair values of financial instruments	4.0		4.0
Carrying Value \| Bank loans \| Bank loans
Liabilities:
Carrying and estimated fair values of financial instruments	0.0		2.1
Fair Value
Liabilities:
Investments in unconsolidated affiliates	7.3		6.0
Fair Value \| Unsecured debt \| Senior unsecured public notes, net of unamortized discount and deferred costs
Liabilities:
Carrying and estimated fair values of financial instruments	490.1		0.0
Fair Value \| Unsecured debt \| Unsecured Delayed Draw Term Loan
Liabilities:
Carrying and estimated fair values of financial instruments	0.0		395.0
Fair Value \| Industrial revenue bond \| Industrial Revenue Bond Maturing in 2021 [Member]
Liabilities:
Carrying and estimated fair values of financial instruments	4.0		4.0
Fair Value \| Bank loans \| Bank loans
Liabilities:
Carrying and estimated fair values of financial instruments	$ 0.0		$ 2.3