Mezzanine Equity - Additional Information (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Dec. 31, 2023	Aug. 28, 2023
Class of Stock [Line Items]
Preferred stock, issued	0	0
Preferred stock, par value	$ 0.01	$ 0.01
Preferred Stock, net of issuance costs	$ 0.0	$ 0.0
Common Stock
Class of Stock [Line Items]
Dividend issued to common stockholders	$ 0.0	$ 0.0
Series A Convertible Preferred Stock
Class of Stock [Line Items]
Preferred stock, issued	500,000	500,000		500,000
Preferred stock, par value	$ 0.01	$ 0.01		$ 0.01
Aggregate purchase price				$ 500
Preferred Stock, net of issuance costs				$ 5.0
Preferred stock, liquidation preference	$ 512.0	$ 503.2
Dividend rate	7.00%	7.00%	7.00%
Dividends paid in-kind	$ 8.9
Cash dividend	26.8
Cash dividends paid	17.8
Accrued dividends	$ 9.0
Terms of redemption	(A) if the applicable redemption date is on or after the fourth anniversary of the Original Issuance Date and before the fifth anniversary of the Original Issuance Date, the greater of (1) the product of (x) the sum of (I) the liquidation preference of such shares of Series A Preferred Stock to be redeemed, plus (II) the accrued dividends in respect of such share of Series A Preferred Stock to be redeemed as of such redemption date, multiplied by (y) 105% and (2) the volume weighted average price (“VWAP”) of the average of the Common Stock for each of the 10 consecutive full trading days ending on, and including, the trading day immediately preceding such day of measurement, adjusted pursuant to the Certificate of Designations (the “Current Market Price”) as of such redemption date of the Common Stock into which such shares of Series A Preferred Stock could be converted on an as converted basis; (B) if the applicable redemption date is on or after the fifth anniversary of the Original Issuance Date and before the sixth anniversary of the Original Issuance Date, the greater of (1) the product of (x) the sum of (I) the liquidation preference of such share of Series A Preferred Stock to be redeemed, plus (II) the accrued dividends in respect of such share of Series A Preferred Stock to be redeemed, multiplied by (y) 103% and (2) the Current Market Price as of such redemption date of the Common Stock into which such shares of Series A Preferred Stock could be converted on an as converted basis; and (C) if the applicable redemption date is on or after the sixth anniversary of the Original Issuance Date, the greater of (1) the product of (x) the sum of (I) the liquidation preference of such share of Series A Preferred Stock to be redeemed, plus (II) the accrued dividends in respect of such share of Series A Preferred Stock to be redeemed , multiplied by (y) 100% and (2) the Current Market Price as of such redemption date of the Common Stock into which such shares of Series A Preferred Stock could be converted on an as converted basis.
Conversion rate			105.9322
Initial conversion price of common stock	$ 18.88
Common stock, affiliates holding percentage	49.00%