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Retirement benefits - assumptions (Details) - Pension Plan
12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Defined Benefit Plan, Weighted Average Assumptions Used in Calculating Benefit Obligation [Abstract]    
Discount rate 4.20% 1.71%
Rate of compensation increase 3.04% 2.80%
Weighted-average assumptions used to determine net periodic benefit cost    
Discount rate 1.57% 1.39%
Expected long-term return on plan assets 2.90% 3.50%
Rate of compensation increase 2.80% 2.77%