Share-Based Compensation (Narrative) (Details) - USD ($) $ in Millions |
3 Months Ended | 6 Months Ended | ||
---|---|---|---|---|
Feb. 28, 2023 |
Feb. 28, 2022 |
Feb. 28, 2023 |
Feb. 28, 2022 |
|
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] | ||||
Share-based compensation expense | $ 1.7 | $ 1.3 | $ 3.3 | $ 2.5 |