Fair Value Measurements (Details) $ in Millions	3 Months Ended
Nov. 30, 2021 USD ($)	Nov. 30, 2020 USD ($) investment	Aug. 31, 2021 USD ($)
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Cash and cash equivalents	$ 504.0		$ 491.3
Asset impairment	0.0	$ 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	8.8		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	$ 488.9		$ 496.5

Amount of write-down of assets recognized in the income statement. Includes, but is not limited to, losses from tangible assets, intangible assets and goodwill.

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