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Stock and Other Compensation Plans - Narrative (Details) - USD ($)
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Share-based Payment Arrangement [Abstract]      
Stock-based compensation cost $ 23,900,000 $ 23,900,000 $ 23,100,000
Capitalized stock-based compensation cost 12,800,000 11,100,000 9,000,000.0
Stock-based compensation cost tax benefit $ 700,000 2,300,000 4,400,000
Maximum shares authorized (in shares) 11,200,000    
Shares available for future issuance 1,500,000    
Service period 3 years    
Unrecognized compensation cost $ 13,700,000    
Cost recognition period 1 year 7 months 6 days    
Fair value of restricted stock vested $ 20,500,000 $ 17,200,000 $ 23,400,000
Minimum initial investment 1,250    
Minimum cash payments 25    
Maximum annual cash payments $ 100,000