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Long-Term Debt - Additional Information (Details) - USD ($) $ in Millions |  |  |  |  | 6 Months Ended |  |
--- | --- | --- | --- | --- | --- | --- | ---
Aug. 31, 2023 | Aug. 28, 2023 | Apr. 22, 2022 | Dec. 18, 2013 | Mar. 31, 2024 | Mar. 31, 2023 | Sep. 30, 2023 | Jun. 22, 2022
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt repayments |  |  |  |  | $ 0.0 | $ 6.0 |  |
Debt voluntary repayment |  |  |  |  | 9.5 | 279.5 |  |
Debt borrowings during the period |  |  |  |  | 0.5 | 298.0 |  |
Long-term debt, fair value |  |  |  |  | 892.0 |  | $ 900.1 |
Receivables Financing Agreement | Wholly-owned Subsidiary |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Credit agreement, maximum borrowing capacity |  |  |  |  |  |  |  | $ 275.0
Debt voluntary repayment |  |  |  |  | 0.5 | 298.0 |  |
Debt borrowings during the period |  |  |  |  | 9.5 | 279.5 |  |
Series B Term Loan | SOFR |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate |  |  | 0.50% |  |  |  |  |
Series B Term Loan | ABR |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate |  |  | 1.50% |  |  |  |  |
Credit Agreement | First Lien Credit Facility Term Loans |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Credit agreement date |  |  |  | Dec. 18, 2013 |  |  |  |
Debt instrument, term |  |  |  | 7 years |  |  |  |
Credit agreement, maximum borrowing capacity |  |  |  | $ 1,460.0 |  |  |  |
Credit Agreement | First Lien Revolving Credit Facility |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, term |  |  |  | 5 years |  |  |  |
Credit agreement, maximum borrowing capacity |  |  |  | $ 210.0 |  |  |  |
Amended Credit Agreement |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Percentage of prepayment premium for voluntary prepayments | 1.00% |  |  |  |  |  |  |
Debt borrowings during the period |  | $ 450.0 |  |  |  |  |  |
Amended Credit Agreement | First Lien Revolving Credit Facility |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, term |  |  | 5 years |  |  |  |  |
Credit agreement, maximum borrowing capacity |  |  | $ 300.0 |  |  |  |  |
Amended Credit Agreement | Series B Term Loan |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, term |  |  | 7 years |  |  |  |  |
Credit agreement, maximum borrowing capacity |  |  | $ 1,200.0 |  |  |  |  |
Debt instrument, original discount |  |  | $ 12.0 |  |  |  |  |
Debt repayments |  |  |  |  | 6.0 |  |  |
Debt instrument, maturity date |  |  | Apr. 22, 2029 |  |  |  |  |
Debt instrument, effective interest rate |  |  | 3.42% |  |  |  |  |
Previous Revolving Credit Facility | First Lien Revolving Credit Facility |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Credit agreement, maximum borrowing capacity |  |  | $ 260.0 |  |  |  |  |
Letters of credits, outstanding amount |  |  |  |  | $ 42.6 |  | $ 42.6 |
Revolving Credit Facility | SOFR |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate |  |  | 0.00% |  |  |  |  |
Revolving Credit Facility | ABR |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate |  |  | 1.00% |  |  |  |  |
Revolving Credit Facility | ABR | Maximum |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate |  |  | 1.50% |  |  |  |  |
Revolving Credit Facility | ABR | Minimum |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate |  |  | 1.00% |  |  |  |  |
Revolving Credit Facility | First Lien Revolving Credit Facility |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, term |  |  | 5 years |  |  |  |  |
Credit agreement, maximum borrowing capacity |  |  | $ 300.0 |  |  |  |  |
Debt instrument, maturity date |  |  | Apr. 22, 2027 |  |  |  |  |
Debt voluntary repayment |  |  |  |  |  | $ 33.5 |  |
Revolving Credit Facility | First Lien Revolving Credit Facility | LIBOR [Member] | Maximum |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate |  |  | 2.50% |  |  |  |  |
Revolving Credit Facility | First Lien Revolving Credit Facility | LIBOR [Member] | Minimum |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate |  |  | 2.00% |  |  |  |  |
Revolving Credit Facility | Series B Term Loan | SOFR | Maximum |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate |  |  | 3.25% |  |  |  |  |
Revolving Credit Facility | Series B Term Loan | SOFR | Minimum |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate |  |  | 3.00% |  |  |  |  |
Revolving Credit Facility | Series B Term Loan | ABR | Maximum |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate |  |  | 2.25% |  |  |  |  |
Revolving Credit Facility | Series B Term Loan | ABR | Minimum |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate |  |  | 2.00% |  |  |  |  |

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