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Shared-Based Compensation (Tables)
12 Months Ended
Aug. 31, 2025
Share-Based Payment Arrangement [Abstract]  
Schedule of Share-Based Compensation Expense

The following table summarizes share-based compensation expense for fiscal 2025, 2024, and 2023:

 

 

 

For the years ended August 31,

 

($ in thousands)

 

2025

 

 

2024

 

 

2023

 

Share-based compensation expense included in cost of
   operating revenues

 

$

169

 

 

$

183

 

 

$

183

 

 

 

 

 

 

 

 

 

 

 

Engineering and research

 

 

214

 

 

 

190

 

 

 

232

 

Selling

 

 

613

 

 

 

650

 

 

 

632

 

General and administrative

 

 

7,240

 

 

 

5,473

 

 

 

5,651

 

Share-based compensation expense included in
   operating expenses

 

 

8,067

 

 

 

6,313

 

 

 

6,515

 

Total share-based compensation expense

 

 

8,236

 

 

 

6,496

 

 

 

6,698

 

Tax benefit

 

 

(1,699

)

 

 

(1,527

)

 

 

(1,574

)

Share-based compensation expense, net of tax

 

$

6,537

 

 

$

4,969

 

 

$

5,124

 

 

 

 

 

 

 

 

 

 

 

Schedule of Assumptions Used The table below shows the annual weighted average assumptions used for valuation purposes.

 

 

 

Grant year

 

 

 

Fiscal 2025

 

 

Fiscal 2024

 

 

Fiscal 2023

 

Risk-free interest rate

 

 

4.1

%

 

 

4.8

%

 

 

4.4

%

Dividend yield

 

 

1.2

%

 

 

1.2

%

 

 

0.9

%

Expected life (years)

 

 

5

 

 

 

5

 

 

 

5

 

Volatility

 

 

36.8

%

 

 

37.8

%

 

 

35.7

%

Weighted average grant-date fair value of options granted

 

$

42.19

 

 

$

44.22

 

 

$

55.53

 

Summary of Stock Option Activity

The following table summarizes stock option activity for fiscal 2025:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Number of
stock options

 

 

Average
exercise price

 

 

Average
remaining
contractual
term (years)

 

 

Aggregate
intrinsic value
(thousands)

 

Stock options outstanding at August 31, 2024

 

 

142,176

 

 

$

117.44

 

 

 

6.4

 

 

$

2,075

 

Granted

 

 

43,011

 

 

 

121.16

 

 

 

 

 

 

 

Exercised

 

 

(18,015

)

 

 

83.67

 

 

 

 

 

 

958

 

Stock options outstanding at August 31, 2025

 

 

167,172

 

 

$

122.04

 

 

 

6.8

 

 

$

3,113

 

Stock options exercisable at August 31, 2025

 

 

96,880

 

 

$

120.29

 

 

 

5.4

 

 

$

2,083

 

Summary of Share Based Compensation Additional Information Additional information regarding stock option exercises is summarized in the table below.

 

 

For the years ended August 31,

 

($ in thousands, except fair value amounts)

 

2025

 

 

2024

 

 

2023

 

Intrinsic value of stock options exercised

 

$

958

 

 

$

217

 

 

$

23

 

Cash received from stock option exercises

 

$

1,507

 

 

$

479

 

 

$

32

 

Tax benefit realized from stock option exercises

 

$

225

 

 

$

18

 

 

$

1

 

Weighted average grant-date fair value of stock options vested

 

$

28.05

 

 

$

27.14

 

 

$

40.66

 

Summary of Restricted Stock Unit Activity

The following table summarizes restricted stock unit activity for fiscal 2025:

 

 

 

Number of
 restricted
stock units

 

 

Weighted
average grant-
date fair value

 

Restricted stock units outstanding at August 31, 2024

 

 

52,581

 

 

$

131.12

 

Granted

 

 

39,067

 

 

 

119.49

 

Vested

 

 

(22,349

)

 

 

133.54

 

Forfeited / Cancelled

 

 

(2,861

)

 

 

123.96

 

Restricted stock units outstanding at August 31, 2025

 

 

66,438

 

 

$

123.63

 

Schedule of Performance Stock Unit Activity

The table below summarizes performance stock unit activity for fiscal 2025:

 

 

 

Number of
performance
stock units

 

 

Weighted
average grant-
date fair value

 

Performance stock units outstanding at August 31, 2024

 

 

46,422

 

 

$

152.67

 

Granted

 

 

28,280

 

 

 

133.29

 

Vested

 

 

(11,729

)

 

 

147.74

 

Performance stock units outstanding at August 31, 2025

 

 

62,973

 

 

$

144.89

 

Schedule of Assumptions Used to Estimate Fair Value of TSR Portion of Awards Granted

The fair value of the TSR portion of the awards granted in fiscal 2025, 2024, and 2023 was estimated at the grant date using a Monte Carlo simulation model which included the following assumptions:

 

 

 

Grant year

 

 

 

Fiscal 2025

 

 

Fiscal 2024

 

 

Fiscal 2023

 

Expected term (years)

 

 

3

 

 

 

3

 

 

 

3

 

Risk-free interest rate

 

 

4.1

%

 

 

4.9

%

 

 

4.5

%

Volatility

 

 

35.2

%

 

 

34.6

%

 

 

38.6

%

Dividend yield

 

 

1.2

%

 

 

1.2

%

 

 

0.9

%