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Amount of noncash expense for award of restricted stock or unit under share-based payment arrangement.

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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Amount by which the current fair value of the underlying stock exceeds the exercise price of options outstanding.

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Period from grant date that an equity-based award expires, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Amount of difference between fair value of the underlying shares reserved for issuance and exercise price of vested portions of options outstanding and currently exercisable.

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Amount of noncash expense for option under share-based payment arrangement.

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Share-Based Employee Compensation - Additional Information (Detail) - USD ($) $ in Millions		1 Months Ended			3 Months Ended		6 Months Ended
	Jul. 19, 2021	Aug. 31, 2023	May 31, 2023	May 31, 2022	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2023	Sep. 30, 2022	Aug. 03, 2023
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Number of shares available for future grant					1,411,810		1,411,810
Reserved future issuance									1,425,000
Stock option expense					$ 0.5	$ 1.1	$ 1.0	$ 1.9
Aggregate intrinsic value for outstanding options					23.3		23.3
Aggregate intrinsic value for exercisable options					16.8		16.8
Total intrinsic value of options exercised							10.5
Restricted stock or unit expense					3.8	$ 3.3	$ 9.8	$ 7.6
Options granted							5,558
Long Term Compensation Plan [Member] \| Minimum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Percentage of average return on invested capital			10.00%
Long Term Compensation Plan [Member] \| Maximum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Percentage of average return on invested capital			20.00%
Performance Vesting Stock Options [Member] \| Minimum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Percentage of average return on invested capital							10.00%
Performance Vesting Stock Options [Member] \| Long Term Compensation Plan [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Number of shares available for future grant			2,296
Percentage of average return on invested capital							20.00%
Reduced percentage of shares earned in stock options plan							66.70%
Stock based compensation plan, description							The performance criteria for the Fiscal 2024 Employee Performance Stock Option Award are based upon the achievement of certain levels of return on equity (as defined in the option agreements), ranging from 10.0% to 20.0%, for the performance periods described in the table below. All stock options in each performance period will be earned if the return on equity is 20.0% or greater. If the return on equity is less than 20% but at least 10% in any performance period, the amount of stock options earned in such period will be reduced proportionately using straight-line interpolation, such that approximately 66.7% of the amount of stock options granted will be earned if the return on equity is 10.0% . If the Company does not achieve a return on equity of at least 10.0% during any performance period, all stock option awards for that performance period will be forfeited.
Share-based compensation award expiration term			10 years
Share-based compensation award expiration term			10 years
Performance Vesting Stock Options [Member] \| Long Term Compensation Plan [Member] \| Minimum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Percentage of average return on invested capital			10.00%
Performance Vesting Stock Options [Member] \| Long Term Compensation Plan [Member] \| Maximum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Percentage of average return on invested capital			20.00%
Time Vesting Stock Options [Member] \| Long Term Compensation Plan [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Number of shares available for future grant			1,914
Share-based compensation vesting period			3 years
Employee Stock Option
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Weighted-average period of recognition of unrecognized compensation cost							2 years
Unrecognized compensation cost					2.7		$ 2.7
Employee Stock Option \| Long Term Compensation Plan [Member] \| Board of Directors [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Share-based compensation award expiration term		10 years
Share-based compensation award expiration term		10 years
Options granted		1,348
Performance Vesting Restricted Stock [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Number of shares available for future grant				45,693
Percentage of average return on invested capital							20.00%
Stock based compensation plan, description							The performance criteria for the Fiscal 2024 Employee Restricted Stock Performance Award are based upon the achievement of certain levels of return on equity (as defined in the award agreement), ranging from 10.0% to 20.0%, for the performance periods described in the table below. All restricted shares in each performance period will be earned if the return on equity is 20.0% or greater. If the return on equity is less than 20% but at least 10% in any performance period, the amount of shares earned in such period will be reduced proportionately using straight-line interpolation, such that approximately 66.7% of the amount of shares issued will be earned if the return on equity is 10.0%. If the Company does not achieve a return on equity of at least 10.0% during any performance period, all awards for that performance period will be forfeited.
Reduced percentage of restricted shares							66.70%
Performance Vesting Restricted Stock [Member] \| Minimum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Percentage of average return on invested capital			10.00%	10.00%			10.00%
Performance Vesting Restricted Stock [Member] \| Maximum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Percentage of average return on invested capital			20.00%	20.00%
Time Vesting Restricted Stock [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Number of shares available for future grant			38,072
Share-based compensation vesting period	3 years		3 years
Time Vesting Restricted Stock [Member] \| Board of Directors [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Share-based compensation vesting period			1 year
Share-based compensation award expiration term			1 year
Share-based compensation award expiration term			1 year
Restricted Stock [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Weighted-average period of recognition of unrecognized compensation cost							1 year 10 months 24 days
Unrecognized compensation cost					$ 25.5		$ 25.5
Restricted Stock [Member] \| Board of Directors [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Number of shares available for future grant		10,755