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Share-Based Compensation - Narrative (Details) - USD ($) $ / shares in Units, $ in Millions | 12 Months Ended
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Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract] |  |  |  |
Pre-tax share-based compensation expense | $ 99.8 | $ 88.3 | $ 68.1 |
Income tax benefit related to share-based compensation expense | 15.9 | $ 14.9 | $ 11.2 |
Unrecognized compensation cost related to share-based compensation awards, net of estimated forfeitures | $ 101.1 |  |  |
Weighted average period for recognition of total unrecognized compensation cost | 1 year 8 months 12 days |  |  |
Stock options |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract] |  |  |  |
Expiration period | 10 years |  |  |
Vesting period | 3 years |  |  |
Per share weighted average fair value of stock options granted (in dollars per share) | $ 85.63 | $ 77.62 | $ 87.68 |
Total intrinsic value of stock options exercised | $ 26.7 | $ 69.8 | $ 52.8 |
Performance shares |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract] |  |  |  |
Vesting period | 3 years | 3 years |  |
Percent payout | 92.00% | 177.00% | 144.00% |
Payout percentage in December 2020 for performance period ending September 30, 2020 | 0.00% |  |  |
Maximum potential shares to be delivered in payment under performance share awards (in shares) | 0 |  |  |
Weighted average grant date fair value of awards granted (in dollars per share) | $ 295.06 | $ 340.77 | $ 481.28 |
Total fair value of shares vested | $ 9.0 | $ 13.0 | $ 23.0 |
Shares granted in the period (in shares) | 79,000 |  |  |
Performance shares | Minimum |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract] |  |  |  |
Percent payout | 0.00% | 0.00% | 0.00% | 0.00%
Performance shares | Maximum |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract] |  |  |  |
Percent payout | 200.00% | 200.00% | 200.00% | 200.00%
Restricted stock and restricted stock units |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract] |  |  |  |
Weighted average grant date fair value of awards granted (in dollars per share) | $ 276.34 | $ 263.67 | $ 298.44 |
Total fair value of shares vested | $ 59.7 | $ 54.4 | $ 35.6 |
Shares granted in the period (in shares) | 265,000 |  |  |
Restricted stock and restricted stock units | Minimum |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract] |  |  |  |
Vesting period | 1 year |  |  |
Restricted stock and restricted stock units | Maximum |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract] |  |  |  |
Vesting period | 5 years |  |  |
Unrestricted stock |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract] |  |  |  |
Weighted average grant date fair value of awards granted (in dollars per share) | $ 278.35 | $ 261.56 | $ 345.00 |
Shares granted in the period (in shares) | 5,700 |  |  |
2020 Long Term Incentive Plan |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract] |  |  |  |
Shares authorized (up to) (in shares) |  |  | 13,000,000.0 |
Shares available for grant (in shares) | 6,900,000 |  |  |
2003 Directors Stock Incentive Plan |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract] |  |  |  |
Shares authorized (up to) (in shares) |  |  | 500,000 |

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- Definition Percentage of target shares to be delivered in payment under performance share awards. + References No definition available. + Details
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- Definition Percentage of target shares to be delivered in the next three months in payment of performance share awards, based on performance targets achieved through the current fiscal year. + References No definition available. + Details
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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 14.F) -Publisher FASB -URI https://asc.fasb.org/1943274/2147479830/718-10-S99-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + 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://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (i) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition Amount of tax benefit for recognition of expense of award under share-based payment arrangement. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + 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://www.xbrl.org/2003/role/exampleRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (a)(1) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(01) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(01) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition Fair value of share-based awards for which the grantee gained the right by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (d)(2) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition Number of shares authorized for issuance under share-based payment arrangement. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (a)(3) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition The difference between the maximum number of shares (or other type of equity) authorized for issuance under the plan (including the effects of amendments and adjustments), and the sum of: 1) the number of shares (or other type of equity) already issued upon exercise of options or other equity-based awards under the plan; and 2) shares (or other type of equity) reserved for issuance on granting of outstanding awards, net of cancellations and forfeitures, if applicable. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition Amount of accumulated difference between fair value of underlying shares on dates of exercise and exercise price on options exercised (or share units converted) into shares. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (d)(2) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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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. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (d)(1) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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