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Significant Accounting Policies - Components of Other Comprehensive Income Loss (Details) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Foreign currency translation adjustments - Net of Tax Amount      
Foreign currency translation adjustments $ (33.3) $ 13.3 $ 11.9
Defined benefit pension plans - Net of Tax Amount      
Tax adjustments, after tax (32.6) 27.2  
Total defined benefit plans, net - net of tax 5.7 21.2 6.8
Other comprehensive (loss) income before tax (26.0) 43.1 20.8
Other comprehensive (loss) income, tax (1.6) (8.6) (2.1)
Other comprehensive (loss) income items, net of tax (27.6) 34.5 18.7
Foreign Currency Items      
Foreign currency translation adjustments - Before Tax Amount      
Foreign currency translation adjustments (33.3) 13.3 11.9
Foreign currency translation adjustments - Tax (Expense) or Benefit      
Foreign currency translation adjustments 0.0 0.0 0.0
Foreign currency translation adjustments - Net of Tax Amount      
Foreign currency translation adjustments (33.3) 13.3 11.9
Defined benefit pension plans - Net of Tax Amount      
Tax adjustments, after tax (33.3) 13.3  
Other comprehensive (loss) income items, net of tax (33.3) 13.3  
Tax adjustments      
Defined benefit pension plans - Before Tax Amounts      
Tax adjustments, before tax 0.0 0.0 0.0
Defined benefit pension plans - Tax (Expense) or Benefit      
Tax adjustments 0.0 (3.2) 0.0
Defined benefit pension plans - Net of Tax Amount      
Tax adjustments, after tax 0.0 (3.2) 0.0
Actuarial gains (losses)      
Defined benefit pension plans - Before Tax Amounts      
Actuarial gains (losses) 0.7 17.5 (0.7)
Defined benefit pension plans - Tax (Expense) or Benefit      
Actuarial gains (losses) 0.0 (3.6) 0.1
Defined benefit pension plans - Net of Tax Amount      
Actuarial gains (losses) 0.7 13.9 (0.6)
Prior service cost      
Defined benefit pension plans - Before Tax Amounts      
Amortization of Defined benefit pension items - Prior service cost 2.9 2.9 4.0
Defined benefit pension plans - Tax (Expense) or Benefit      
Amortization of Defined benefit pension items - Prior service cost (0.7) (0.6) (0.9)
Defined benefit pension plans - Net of Tax Amount      
Amortization of Defined benefit pension items - Prior service cost 2.2 2.3 3.1
Actuarial losses      
Defined benefit pension plans - Before Tax Amounts      
Amortization of Defined benefit pension items - Actuarial losses 3.3 5.5 5.6
Defined benefit pension plans - Tax (Expense) or Benefit      
Amortization of Defined benefit pension items - Actuarial losses (0.8) (1.2) (1.3)
Defined benefit pension plans - Net of Tax Amount      
Amortization of Defined benefit pension items - Actuarial losses 2.5 4.3 4.3
Settlement losses      
Defined benefit pension plans - Before Tax Amounts      
Amortization of Defined benefit pension items - Settlement losses 0.4 3.9 0.0
Defined benefit pension plans - Tax (Expense) or Benefit      
Amortization of Defined benefit pension items - Settlement losses (0.1) 0.0 0.0
Defined benefit pension plans - Net of Tax Amount      
Amortization of Defined benefit pension items - Settlement losses 0.3 3.9 0.0
Defined Benefit Pension Plans      
Defined benefit pension plans - Before Tax Amounts      
Total defined benefit plans, net - before tax 7.3 29.8 8.9
Defined benefit pension plans - Tax (Expense) or Benefit      
Total defined benefit plans, net - tax (1.6) (8.6) (2.1)
Defined benefit pension plans - Net of Tax Amount      
Tax adjustments, after tax 0.7 13.9  
Total defined benefit plans, net - net of tax 5.7 21.2 $ 6.8
Other comprehensive (loss) income items, net of tax $ 5.7 $ 21.2