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Stockholders' Equity (Schedule of Assumptions Used in Estimate of Fair Value of Stock Option Awards) (Details) - $ / shares
9 Months Ended
Jun. 30, 2018
Jun. 30, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Weighted-average grant date market value of Woodward stock $ 78.91 $ 69.45
Weighted-average exercise price per share $ 78.91 $ 62.64
Minimum [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Expected term 6 years 4 months 24 days 6 years
Maximum [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Expected term 8 years 8 months 12 days 8 years 8 months 12 days
Stock Options [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Estimated dividend yield   0.70%
Stock Options [Member] | Minimum [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Estimated volatility 29.10% 31.50%
Estimated dividend yield 0.60%  
Risk-free interest rate 2.10% 2.20%
Stock Options [Member] | Maximum [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Estimated volatility 32.70% 33.70%
Estimated dividend yield 0.80%  
Risk-free interest rate 2.80% 2.50%