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Stockholders' Equity (Tables)
6 Months Ended
Mar. 31, 2020
Stock Options [Member]  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Schedule of Assumptions Used in Estimate of Fair Value of Stock Option Awards

Three-Months Ended

Six-Months Ended

March 31,

March 31,

2020

2019

2020

2019

Weighted-average exercise price per share

$

127.84

$

77.12

$

104.91

$

79.12

Weighted-average grant date market value of Woodward stock

$

127.84

$

77.12

$

104.91

$

79.12

Expected term (years)

6.5

6.5

6.4 

-

8.7

6.5 

-

8.7

Estimated volatility

25.7%

25.8%

-

26.0%

25.7%

-

30.1%

25.7%

-

31.0%

Estimated dividend yield

0.9%

0.7%

-

0.8%

0.6%

-

0.9%

0.7%

-

0.8%

Risk-free interest rate

1.7%

2.6%

1.6%

-

1.7%

2.6%

-

3.1%

Summary of Activity for Stock Option Awards

Three-Months Ended

Six-Months Ended

March 31, 2020

March 31, 2020

Number of options

Weighted-Average Exercise Price per Share

Number of options

Weighted-Average Exercise Price per Share

Options, beginning balance

5,766 

$

$59.97

5,387 

$

53.73 

Options granted

3 

$127.84

629 

104.91 

Options exercised

(137)

$37.72

(363)

35.05 

Options forfeited

(9)

$86.77

(30)

83.20 

Options, ending balance

5,623 

$60.50

5,623 

60.50 

Changes in Non-vested Stock Options

Three-Months Ended

Six-Months Ended

March 31, 2020

March 31, 2020

Number of options

Weighted-Average Grant Date Fair Value per Share

Number of options

Weighted-Average Grant Date Fair Value Per Share

Non-vested options outstanding, beginning balance

1,905 

$

$25.90

2,068 

$

23.43 

Options granted

3 

$33.44

629 

28.57 

Options vested

(32)

$23.79

(800)

21.52 

Options forfeited

(9)

$25.68

(30)

25.34 

Non-vested options outstanding, ending balance

1,867 

$25.95

1,867 

25.95

Stock Options Vested, or Expected to Vest and Exercisable

Number

Weighted- Average Exercise Price

Weighted- Average Remaining Life in Years

Aggregate Intrinsic Value

Options outstanding

5,623 

$

60.50 

6.0 

$

56,006 

Options vested and exercisable

3,755 

47.67 

4.8 

56,006 

Options vested and expected to vest

5,515 

59.92 

5.9 

56,006 

Restricted Stock Units (RSUs) [Member]  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Summary of Activity for Restricted Stock Units

Three-Months Ended

Six-Months Ended

March 31, 2020

March 31, 2020

Number

Weighted-Average Grant Date Fair Value per Unit

Number

Fair Value per Share

Beginning balance

9 

$

91.55 

9 

$

91.55 

Units granted

-

-

-

-

Units vested

-

-

-

-

Units forfeited

-

-

-

-

Ending balance

9 

91.55 

9 

91.55