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Share-Based Payments (Schedule of Share Option Valuation Assumptions) (Details) - $ / shares
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Weighted-average fair value per share option (in usd per share) $ 14.25 $ 12.06
Share options    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Expected volatility 39.00% 36.00%
Risk-free interest rate 1.33% 0.57%
Expected share option life (in years) 6 years 1 month 6 days 6 years 3 months 18 days
Dividend yield 1.42% 0.00%