Contingent Consideration - Additional Information (Details) - USD ($)			3 Months Ended		5 Months Ended	9 Months Ended
	Jun. 08, 2021	Jun. 08, 2021	May 31, 2022	May 31, 2021	Jun. 08, 2021	Nov. 30, 2021	Feb. 28, 2022
Business Acquisition Contingent Consideration [Line Items]
Contingent consideration liability			$ 41,400,000				$ 45,600,000
Contingent consideration liability remeasured gain			4,200,000
Contingent consideration liability remeasured loss				$ 63,400,000
Business Combination, Contingent Consideration Arrangements, Change in Amount of Contingent Consideration, Liability			$ (4,200,000)	73,260,000
Share price per share shall be decreased if dividends paid to class A common stock						$ 13.50
Fair value remeasurements loss				$ 9,900
RCUs
Business Acquisition Contingent Consideration [Line Items]
Vesting period			10 years
Series B-1 common stock
Business Acquisition Contingent Consideration [Line Items]
Common stock, shares outstanding			8,120,367
Common Stock Conversion Features					the Series B-1 common stock to automatically convert into our Class A Common Stock on a one-to-one basis
Conversion of Stock Shares Waiting to be Converted			94
Share price per share shall be decreased if dividends paid to class A common stock			$ 13.50
Conversion of Stock, Shares Converted	8,120,273
Series B-1 common stock | Sponsor Side Letter Agreement | CC Neuberger Principal Holdings I Sponsor LLC and Independent Directors
Business Acquisition Contingent Consideration [Line Items]
Conversion of Stock, Shares Issued			2,500,000
Series B-2 common stock
Business Acquisition Contingent Consideration [Line Items]
Common stock, shares outstanding			3,372,184				3,372,184
Common Stock Conversion Features			The Series B-2 common stock will automatically convert into our Class A Common Stock on a one-to-one basis
Common Stock Minimum Conversion Price Per Share Equal To Volume Weighted Average Price Of Class A Common Stock			$ 15.00
Share price per share shall be decreased if dividends paid to class A common stock			$ 15.00
Common Class V [Member]
Business Acquisition Contingent Consideration [Line Items]
Number Of Common StockSharesVesting							4,379,557
Common Stock Conversion Features			They are also entitled to Class V common stock on a one for one basis to their Common Units which in essence allows each holder one vote per Common Unit.
Series 1 RCUs
Business Acquisition Contingent Consideration [Line Items]
Common stock, shares outstanding			4,379,557
Number Of Common StockSharesVesting			4,379,557
Number of days volume-weighted average price			5 days
Share price per share shall be decreased if dividends paid to class A common stock			$ 13.50
Conversion of Stock, Shares Issued			4,379,557
Series 2 RCUs
Business Acquisition Contingent Consideration [Line Items]
Common stock, shares outstanding						2,627,724	2,627,724
Common Stock Minimum Conversion Price Per Share Equal To Volume Weighted Average Price Of Class A Common Stock			$ 15.00
Share price per share shall be decreased if dividends paid to class A common stock			$ 15.00
Class A Common Stock
Business Acquisition Contingent Consideration [Line Items]
Number of days volume-weighted average price	5 days		5 days
Common Stock Minimum Conversion Price Per Share Equal To Volume Weighted Average Price Of Class A Common Stock	$ 13.50	$ 13.50	$ 13.50
Conversion of Stock, Shares Issued	8,120,273
Class B Common Stock | Sponsor Side Letter Agreement | CC Neuberger Principal Holdings I Sponsor LLC and Independent Directors
Business Acquisition Contingent Consideration [Line Items]
Conversion of Stock, Shares Converted			2,500,000