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Summary of Significant Accounting Policies - Additional Information (Detail) $ / shares in Units, $ in Millions |  | 3 Months Ended | 9 Months Ended |  |  |  |
--- | --- | --- | --- | --- | --- | --- | ---
Feb. 28, 2020 $ / shares shares | Jun. 30, 2022 USD ($) shares | Jun. 30, 2021 USD ($) shares | Jun. 30, 2022 USD ($) shares | Jun. 30, 2021 USD ($) shares | Mar. 31, 2022 shares | Sep. 30, 2021 shares | Mar. 31, 2021 shares | Sep. 30, 2020 shares
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Capital stock authorized (in shares) | 2,100,000,000 |  |  |  |  |  |  |  |
Preferred stock authorized (in shares) | 100,000,000 |  |  |  |  |  |  |  |
Preferred stock par value (in dollars per share) | $ / shares | $ 1.00 |  |  |  |  |  |  |  |
Stock split, conversion ratio | 477,242.614671815 |  |  |  |  |  |  |  |
Preferred stock outstanding (in shares) | 0 |  |  |  |  |  |  |  |
Award requisite service period |  |  |  | 4 years |  |  |  |  |
Non-cash stock-based compensation expense | $ |  | $ 5 | $ 12 | $ 35 | $ 33 |  |  |  |
Share-based compensation liability | $ |  | 5 |  | 5 |  |  |  |  |
Additional Paid-in Capital |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Non-cash stock-based compensation expense | $ |  | 4 |  | 30 |  |  |  |  |
Share-based compensation liability | $ |  | $ 9 |  | $ 9 |  |  |  |  |
Restricted Stock Units (RSUs) |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Shares issued under Omnibus Incentive Plan (in shares) |  |  |  | 528,057 |  |  |  |  |
Restricted Stock Units (RSUs) | Omnibus Incentive Plan |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Shares issued under Omnibus Incentive Plan (in shares) |  | 492 | 143 | 463,490 | 33,205 |  |  |  |
Restricted Stock |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Award requisite service period |  |  |  | 1 year |  |  |  |  |
IPO |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Award requisite service period |  |  |  | 1 year |  |  |  |  |
Class A Common Stock |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Common stock authorized (in shares) | 1,000,000,000 | 1,000,000,000 |  | 1,000,000,000 |  |  | 1,000,000,000 |  |
Common stock outstanding (in shares) |  | 137,198,864 |  | 137,198,864 |  |  | 122,414,827 |  |
Class A Common Stock | Common Stock |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Common stock outstanding (in shares) |  | 137,198,864 | 116,921,554 | 137,198,864 | 116,921,554 | 137,198,372 | 122,414,827 | 116,921,411 | 88,578,361
Shares issued under Omnibus Incentive Plan (in shares) |  | 492 | 143 | 186,925 | 33,205 |  |  |  |
Vesting of restricted stock units, net of shares withheld for employee taxes (in shares) |  |  |  | 276,565 |  |  |  |  |
Conversion of Class B shares for Class A shares (in shares) |  |  |  | 14,320,547 | 4,754,626 |  |  |  |
Exchange of LLC units for class B shares (in shares) |  |  |  |  | 19,234,103 |  |  |  |
Class A Common Stock | Omnibus Incentive Plan |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Common stock available for issuance (in shares) |  | 31,169,099 |  | 31,169,099 |  |  |  |  |
Incentive plan period |  |  |  | 10 years |  |  |  |  |
Class A Common Stock | IPO |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Common stock outstanding (in shares) | 88,550,000 |  |  |  |  |  |  |  |
Class A Common Stock | IPO | Omnibus Incentive Plan |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Common stock available for issuance (in shares) |  | 1,000,000 |  | 1,000,000 |  |  |  |  |
Class B Common Stock |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Common stock authorized (in shares) | 1,000,000,000 | 1,000,000,000 |  | 1,000,000,000 |  |  | 1,000,000,000 |  |
Common stock outstanding (in shares) | 510,000,000 | 377,650,449 |  | 377,650,449 |  |  | 391,970,996 |  |
Conversion of Class B shares for Class A shares (in shares) |  |  |  | 13,810,382 |  |  |  |  |
Exchange of LLC units for class B shares (in shares) |  |  |  | 510,165 |  |  |  |  |
Class B Common Stock | Common Stock |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Common stock outstanding (in shares) |  | 377,650,449 | 397,461,268 | 377,650,449 | 397,461,268 | 377,650,449 | 391,970,996 | 397,461,268 | 421,450,000
Conversion of Class B shares for Class A shares (in shares) |  |  |  | 14,320,547 | 4,754,626 |  |  |  |
Exchange of LLC units for class B shares (in shares) |  |  |  |  | 19,234,106 |  |  |  |
Class B Common Stock | IPO |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |
Common stock outstanding (in shares) | 421,450,000 |  |  |  |  |  |  |  |

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