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Significant Accounting Policies - Components of Other Comprehensive Income Loss (Details) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Defined benefit pension plans - Net of Tax Amount      
Tax adjustments, after tax $ 8.9 $ (32.6)  
Other comprehensive (loss) income before tax 14.5 (26.0) $ 43.1
Other comprehensive (loss) income, tax (1.3) (1.6) (8.6)
Other comprehensive income (loss) items, net of tax 13.2 (27.6) 34.5
Foreign Currency Items      
Foreign currency translation adjustments - Before Tax Amount      
Foreign currency translation adjustments 8.5 (33.3) 13.3
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 8.5 (33.3) 13.3
Defined benefit pension plans - Net of Tax Amount      
Tax adjustments, after tax 8.5 (33.3)  
Other comprehensive income (loss) items, net of tax 8.5 (33.3)  
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 0.0 (3.2)
Defined benefit pension plans - Net of Tax Amount      
Tax adjustments, after tax 0.0 0.0 (3.2)
Actuarial gains      
Defined benefit pension plans - Before Tax Amounts      
Actuarial gains (losses) 0.4 0.7 17.5
Defined benefit pension plans - Tax (Expense) or Benefit      
Actuarial gains (losses) 0.0 0.0 (3.6)
Defined benefit pension plans - Net of Tax Amount      
Actuarial gains (losses) 0.4 0.7 13.9
Prior service cost      
Defined benefit pension plans - Before Tax Amounts      
Amortization of Defined benefit pension items - Prior service cost 2.6 2.9 2.9
Defined benefit pension plans - Tax (Expense) or Benefit      
Amortization of Defined benefit pension items - Prior service cost (0.6) (0.7) (0.6)
Defined benefit pension plans - Net of Tax Amount      
Amortization of Defined benefit pension items - Prior service cost 2.0 2.2 2.3
Actuarial losses      
Defined benefit pension plans - Before Tax Amounts      
Amortization of Defined benefit pension items - Actuarial losses 3.0 3.3 5.5
Defined benefit pension plans - Tax (Expense) or Benefit      
Amortization of Defined benefit pension items - Actuarial losses (0.7) (0.8) (1.2)
Defined benefit pension plans - Net of Tax Amount      
Amortization of Defined benefit pension items - Actuarial losses 2.3 2.5 4.3
Settlement losses      
Defined benefit pension plans - Before Tax Amounts      
Amortization of Defined benefit pension items - Settlement losses 0.0 0.4 3.9
Defined benefit pension plans - Tax (Expense) or Benefit      
Amortization of Defined benefit pension items - Settlement losses 0.0 (0.1) 0.0
Defined benefit pension plans - Net of Tax Amount      
Amortization of Defined benefit pension items - Settlement losses 0.0 0.3 3.9
Defined Benefit Pension Plans      
Defined benefit pension plans - Before Tax Amounts      
Total defined benefit plans, net - before tax 6.0 7.3 29.8
Defined benefit pension plans - Tax (Expense) or Benefit      
Total defined benefit plans, net - tax (1.3) (1.6) (8.6)
Defined benefit pension plans - Net of Tax Amount      
Tax adjustments, after tax 0.4 0.7  
Total defined benefit plans, net - net of tax 4.7 5.7 $ 21.2
Other comprehensive income (loss) items, net of tax $ 4.7 $ 5.7