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Stock-Based Compensation and Stock Options - Fair Value of Options Granted (Detail)
3 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Share-Based Payment Arrangement [Abstract]    
Risk-free interest rate 4.36% 1.27%
Expected volatility 36.00% 36.00%
Expected dividend yield 0.00% 0.00%
Expected weighted average life of option in years 4 years 3 months 18 days 4 years 4 months 24 days