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Share-Based Compensation (Tables)
3 Months Ended
Nov. 30, 2023
Share-Based Payment Arrangement [Abstract]  
Summary of Type and Fair Value of Share-Based Compensation Awards

The following table illustrates the type and fair value of share-based compensation awards granted during the three months ended November 30, 2023 and 2022:

 

 

 

Three months ended

 

 

 

November 30, 2023

 

 

November 30, 2022

 

 

 

Number of
units
granted

 

 

Weighted average
grant-date fair value
per award

 

 

Number of
units
granted

 

 

Weighted average
grant-date fair value
per award

 

Stock options

 

 

31,199

 

 

$

44.22

 

 

 

21,743

 

 

$

55.53

 

RSUs

 

 

26,685

 

 

$

116.71

 

 

 

18,502

 

 

$

152.36

 

PSUs

 

 

21,248

 

 

$

141.61

 

 

 

14,496

 

 

$

173.17

 

Schedule of Assumptions Used

The following table provides the assumptions used in determining the fair value of the stock options awarded during the three months ended November 30, 2023 and 2022:

 

 

 

Three months ended November 30,

 

 

 

2023

 

 

2022

 

Dividend yield

 

 

1.2

%

 

 

0.9

%

Volatility

 

 

37.8

%

 

 

35.7

%

Risk-free interest rate

 

 

4.8

%

 

 

4.4

%

Expected life (years)

 

 

5

 

 

 

5

 

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 during the three months ended November 30, 2023 and 2022 was estimated at the grant date using a Monte Carlo simulation model which included the following assumptions:

 

 

 

Three months ended November 30,

 

 

 

2023

 

 

2022

 

Expected term (years)

 

 

3

 

 

 

3

 

Risk-free interest rate

 

 

4.9

%

 

 

4.5

%

Volatility

 

 

34.6

%

 

 

38.6

%

Dividend yield

 

 

1.2

%

 

 

0.9

%