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Earnings Per Share - Additional Information (Details) - shares		3 Months Ended
	Sep. 20, 2024	Mar. 31, 2025	Dec. 31, 2024
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]
Description of forward stock split	103-for-one forward stock split	103-for-one stock split
Common stock, shares, issued		334,461,630	334,461,630
Common stock, shares, outstanding		334,461,630	334,461,630
Earnings (loss) per share distribution stock split		100.79-for-one stock split
Contingently issuable shares		6,306,550
Dynasty Parent Holdings, L.P.
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]
Common stock, shares, issued	281,211,630
Common stock, shares, outstanding	281,211,630
Class A-1 Units and Class A-2 Units | Dynasty Parent Holdings, L.P.
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]
Shares issued	275,053,375
Class A-1 Units and Class A-2 Units | Restricted Stock Awards (RSA) | Dynasty Parent Holdings, L.P.
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]
Shares issued	8,157
Class B Units | Dynasty Parent Holdings, L.P.
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]
Shares issued	6,158,255
Class B Units | Restricted Stock Awards (RSA) | Dynasty Parent Holdings, L.P.
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]
Shares issued	6,028,394

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Earnings (loss) per share distribution stock split.

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Total number of common shares of an entity that have been sold or granted to shareholders (includes common shares that were issued, repurchased and remain in the treasury). These shares represent capital invested by the firm's shareholders and owners, and may be all or only a portion of the number of shares authorized. Shares issued include shares outstanding and shares held in the treasury.

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Number of shares of common stock outstanding. Common stock represent the ownership interest in a corporation.

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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.

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Number of shares issued under share-based payment arrangement.

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Description of the reverse stock split arrangement. Also provide the retroactive effect given by the reverse split that occurs after the balance sheet date but before the release of financial statements.

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Shares issuable for little or no cash consideration upon the satisfaction of certain conditions (contingently issuable shares) are considered outstanding common shares and included in the computation of basic Earnings Per Share as of the date that all necessary conditions have been satisfied (in essence, when issuance of the shares is no longer contingent). Outstanding common shares that are contingently returnable (that is, subject to recall) are treated in the same manner as contingently issuable shares. Contingently issuable shares include shares that (a) will be issued in the future upon the satisfaction of specified conditions, (b) have been placed in escrow and all or part must be returned if specified conditions are not met, or (c) have been issued but the holder must return all or part if specified conditions are not met. The number of contingently issuable shares is determined by relating the portion of time within a reporting period that these shares have been outstanding to the total time in that period.

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