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Share-Based Compensation - Additional information (Details) - USD ($) | 12 Months Ended
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Sep. 30, 2019 | Sep. 30, 2018 | Sep. 30, 2017
Share-Based Compensation |  |  |
Non-employee director retainer common shares per quarter |  | 900 |
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Available for Grant | 844,029 |  |
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost |  | $ 180,000 |
Performance-Accelerated Restricted Share Awards |  |  |
Share-Based Compensation |  |  |
Stock options outstanding | 0 |  |
Vesting period | 5 years |  |
Pretax compensation expense | $ 4,300,000 | 4,100,000 | $ 4,400,000
Compensation Plan for Non-Employee Directors |  |  |
Share-Based Compensation |  |  |
Pretax compensation expense | 1,100,000 | 1,100,000 | 1,000,000.0
Total share-based compensation cost | 1,100,000 |  |
Total income tax benefit recognized |  | 1,300,000 | 1,800,000
Total unrecognized compensation cost related to share-based compensation arrangements | $ 9,600,000 |  |
Remaining weighted-average period for recognition of total unrecognized compensation cost | 2 years |  |
Compensation Plan for Non-Employee Directors | Selling, general and administrative expenses |  |  |
Share-Based Compensation |  |  |
Total share-based compensation cost | $ 5,400,000 | $ 5,200,000 | $ 5,400,000

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- Definition Amount of cost capitalized for award under share-based payment arrangement. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1)(ii) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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- Definition Amount of cost not yet recognized for nonvested award under share-based payment arrangement. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (i) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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- Definition Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (i) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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- Definition Period over which grantee's right to exercise award under share-based payment arrangement is no longer contingent on satisfaction of service or performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Includes, but is not limited to, combination of market, performance or service condition. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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- Definition The highest quantity of shares an employee can purchase under the plan per period. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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