Stock-based Compensation Plans - Stock Option Fair Value Assumptions and Weighted Average Fair Value of Stock Options Granted (Detail) - $ / shares	12 Months Ended
Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2019
Stock option fair value assumptions:
Risk-free interest rates	0.40%	1.41%	2.75%
Expected life (years)	4 years 7 months 6 days	4 years 7 months 6 days	4 years 6 months
Expected volatility	43.00%	39.00%	34.00%
Dividend yield		0.00%
Weighted average grant date fair value of stock options granted	$ 14.71	$ 14.13	$ 17.89

No definition available.

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- Definition

The estimated dividend rate (a percentage of the share price) to be paid (expected dividends) to holders of the underlying shares over the option's term.

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- Definition

The estimated measure of the percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period.

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- Definition

The risk-free interest rate assumption that is used in valuing an option on its own shares.

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- Definition

The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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- Definition

Expected term of award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

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Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
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-Name Accounting Standards Codification
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