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Derivative Financial Instruments and Fair Value Measurements - Fair Value Measurements (Details) - USD ($) $ in Millions | 9 Months Ended |
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Jun. 30, 2022 | Sep. 30, 2021
Interest Rate Swap and Interest Rate Cap | Other current assets |  |
Derivative financial instruments |  |
Fair values of the interest rate swap and cap agreements | $ 3.5 |
Interest Rate Swap and Interest Rate Cap | Other non-current assets |  |
Derivative financial instruments |  |
Fair values of the interest rate swap and cap agreements | 23.7 |
Interest Rate Swap and Interest Rate Cap | Other current liabilities |  |
Derivative financial instruments |  |
Fair values of the interest rate swap and cap agreements | 1.7 |
Interest Rate Swap and Interest Rate Cap | Other long-term liabilities |  |
Derivative financial instruments |  |
Fair values of the interest rate swap and cap agreements | 3.2 |
Interest Rate Swap | Other non-current assets |  |
Derivative financial instruments |  |
Fair values of the interest rate swap and cap agreements |  | $ 1.2
Interest Rate Swap | Other current liabilities |  |
Derivative financial instruments |  |
Fair values of the interest rate swap and cap agreements |  | 5.0
Interest Rate Swap | Other long-term liabilities |  |
Derivative financial instruments |  |
Fair values of the interest rate swap and cap agreements |  | $ 1.8
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 -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 45 -Paragraph 5 -URI http://asc.fasb.org/extlink&oid=117331979&loc=d3e41228-113958 + 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/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 20 -Section 45 -Paragraph 1A -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=121577181&loc=SL110061172-113977 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4C -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=125515794&loc=SL5624171-113959 + Details
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