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Debt - Credit Agreement - Additional Information (Details) - USD ($) | 3 Months Ended | 9 Months Ended |  |
--- | --- | --- | --- | ---
Jun. 30, 2022 | Jun. 30, 2021 | Jun. 30, 2022 | Jun. 30, 2021 | Aug. 02, 2022 | Feb. 13, 2020
Debt Instrument [Line Items] |  |  |  |  |  |
Credit facility amount |  |  |  |  |  | $ 1,000,000,000
Voting interest in domestic subsidiaries pledged against credit facility |  |  | 100.00% |  |  |
Voting interest in foreign subsidiaries pledged against credit facility |  |  | 65.00% |  |  |
Leverage ratio, actual | 0.0197 |  | 0.0197 |  |  |
Senior debt leverage ratio, actual | 0.0061 |  | 0.0061 |  |  |
Fixed charge coverage ratio, actual | 0.1374 |  | 0.1374 |  |  |
Periodic interest payment | $ 2,100,000 | $ 3,200,000 | $ 25,900,000 | $ 23,700,000 |  |
Interest rate during period | 3.40% | 3.10% | 3.30% | 3.40% |  |
Foreign Subsidiary | Subsequent Event |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Long-term portion of long term debt |  |  |  |  | $ 0 |
Line of Credit |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Line of credit facility, maximum borrowing capacity expansion amount |  |  |  |  |  | $ 500,000,000
Credit facility maturity date |  |  | Feb. 13, 2025 |  |  |
Basis spread on Federal Reserve Bank of New York (FRBNY) rate | 0.50% |  | 0.50% |  |  |
Basis spread on adjusted LIBOR |  |  | 1.00% |  |  |
Investment limit in foreign subsidiaries | $ 100,000,000 |  | $ 100,000,000 |  |  |
Cash investment limit for acquisition of business | $ 200,000,000 |  | $ 200,000,000 |  |  |
Total leverage ratio | 4.50 |  | 4.50 |  |  |
Senior secured leverage ratio | 3.00 |  | 3.00 |  |  |
Minimum fixed charge coverage ratio allowed under debt covenant | 3.00 |  | 3.00 |  |  |
Line of Credit | Minimum |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Variable interest rate, length of time between updates |  |  | 30 days |  |  |
Credit facility commitment fees percentage |  |  | 0.175% |  |  |
Line of Credit | Minimum | London Interbank Offered Rate (LIBOR) |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Basis spread on variable rate |  |  | 1.25% |  |  |
Line of Credit | Minimum | Base Rate |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Basis spread on variable rate |  |  | 0.25% |  |  |
Line of Credit | Maximum |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Variable interest rate, length of time between updates |  |  | 180 days |  |  |
Credit facility commitment fees percentage |  |  | 0.30% |  |  |
Line of Credit | Maximum | London Interbank Offered Rate (LIBOR) |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Basis spread on variable rate |  |  | 1.75% |  |  |
Line of Credit | Maximum | Base Rate |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Basis spread on variable rate |  |  | 0.75% |  |  |
Secured Debt | Revolving Loan, Reset Period One |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |
Annual rate for borrowings outstanding | 2.67% |  | 2.67% |  |  |

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- Definition Component of Base Rate, Basis Spread on Adjusted LIBOR + References No definition available. + Details
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- Definition The carrying value as of the balance sheet date of the current and noncurrent portions of long-term obligations drawn from a line of credit, which is a bank's commitment to make loans up to a specific amount. Examples of items that might be included in the application of this element may consist of letters of credit, standby letters of credit, and revolving credit arrangements, under which borrowings can be made up to a maximum amount as of any point in time conditional on satisfaction of specified terms before, as of and after the date of drawdowns on the line. Includes short-term obligations that would normally be classified as current liabilities but for which (a) postbalance sheet date issuance of a long term obligation to refinance the short term obligation on a long term basis, or (b) the enterprise has entered into a financing agreement that clearly permits the enterprise to refinance the short-term obligation on a long term basis and the following conditions are met (1) the agreement does not expire within 1 year and is not cancelable by the lender except for violation of an objectively determinable provision, (2) no violation exists at the BS date, and (3) the lender has entered into the financing agreement is expected to be financially capable of honoring the agreement. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(22)) -URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 942 -SubTopic 210 -Section S99 -Paragraph 1 -Subparagraph (SX 210.9-03(16)) -URI https://asc.fasb.org/extlink&oid=126897435&loc=d3e534808-122878 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 944 -SubTopic 210 -Section S99 -Paragraph 1 -Subparagraph (SX 210.7-03(16)) -URI https://asc.fasb.org/extlink&oid=126734703&loc=d3e572229-122910 + Details
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- Definition The fee, expressed as a percentage of the line of credit facility, for the line of credit facility regardless of whether the facility has been used. + References No definition available. + Details
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