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Debt and Lines of Credit - Debt (Details) - USD ($) $ in Millions	Aug. 31, 2022	Aug. 31, 2021	Nov. 10, 2020
Debt Instrument [Line Items]
Short-term borrowings under credit facility	$ 18.0	$ 0.0
Total debt	513.0	494.3
Credit Facility | Revolving credit facility borrowings
Debt Instrument [Line Items]
Short-term borrowings under credit facility	18.0	0.0
Senior Unsecured Notes | Unsecured public notes due December 2030
Debt Instrument [Line Items]
Senior unsecured public notes due December 2030, principal	500.0	500.0
Senior unsecured public notes due December 2030, unamortized discount and deferred costs	$ (5.0)	$ (5.7)
Unsecured Term Loan | 2.150% Senior Unsecured Notes Due December 2030 | ABL
Debt Instrument [Line Items]
Debt instrument, face amount			$ 500.0

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Amount, before unamortized (discount) premium and debt issuance costs, of long-term debt. Includes, but is not limited to, notes payable, bonds payable, commercial loans, mortgage loans, convertible debt, subordinated debt and other types of debt.

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Amount, after accumulated amortization, of debt discount.

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