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Fair Value Measurements (Details) $ in Millions	3 Months Ended	6 Months Ended
Fair Value Measurements (Details) $ in Millions	Feb. 28, 2021 USD ($) investment	Feb. 28, 2022 USD ($)	Feb. 28, 2021 USD ($)	Aug. 31, 2021 USD ($)
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Cash and cash equivalents		$ 475.5		$ 491.3
Asset impairment	$ 4.0	1.7	$ 4.0
Number of equity instruments \| investment	1
Reported Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Investments		9.9		5.3
Estimate of Fair Value Measurement \| Unsecured debt \| 2.150% Senior Unsecured Notes Due December 2030
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Carrying and estimated fair values of financial instruments		$ 461.3		$ 496.5