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Derivative Financial Instruments and Fair Value Measurements - Fair Value Measurements (Details) - USD ($) $ in Millions | 12 Months Ended |
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Sep. 30, 2023 | Sep. 30, 2022
Interest Rate Swap and Interest Rate Cap | Other current assets |  |
Derivative financial instruments |  |
Fair values of the interest rate swap and cap agreements | $ 17.2 |
Interest Rate Swap and Interest Rate Cap | Other non-current assets |  |
Derivative financial instruments |  |
Fair values of the interest rate swap and cap agreements | 37.5 |
Interest Rate Swap | Other current assets |  |
Derivative financial instruments |  |
Fair values of the interest rate swap and cap agreements |  | $ 9.4
Interest Rate Swap | Other non-current assets |  |
Derivative financial instruments |  |
Fair values of the interest rate swap and cap agreements |  | $ 41.8
Designated as Hedging Instrument | Cash Flow Hedging | Interest Rate Swap |  |
Derivative financial instruments |  |
Losses recognized in income | $ 0.0 |

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- Definition Fair values as of the balance sheet date of the net amount of all assets and liabilities resulting from contracts that meet the criteria of being accounted for as derivative instruments. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section 45 -Paragraph 5 -SubTopic 10 -Topic 815 -Publisher FASB -URI https://asc.fasb.org//1943274/2147480463/815-10-45-5 + Details
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- Definition Amount of gain (loss) from excluded component of derivative hedge, recognized in earnings. Excludes recognition under systematic and rational method. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 815 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 4C -Subparagraph (d) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480434/815-10-50-4C Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Name Accounting Standards Codification -Section 45 -Paragraph 1A -Subparagraph (b) -SubTopic 20 -Topic 815 -Publisher FASB -URI https://asc.fasb.org//1943274/2147480627/815-20-45-1A + Details
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- Definition 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. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 815 -SubTopic 40 -Name Accounting Standards Codification -Section 50 -Paragraph 5 -Subparagraph (f) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480237/815-40-50-5 + Details
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