Shareholders' Deficit - Additional Information (Detail) - $ / shares	9 Months Ended
	Sep. 30, 2022	Dec. 31, 2021
Class of Stock [Line Items]
Preferred stock shares authorized	1,000,000	1,000,000
Preferred stock par or stated value per share	$ 0.0001	$ 0.0001
Preferred stock shares issued	0	0
Preferred stock shares outstanding	0	0
Share price threshold for stock conversion	$ 10
Conversion of Class B To Class A Common Stock in Completion of Business Combination [Member]
Class of Stock [Line Items]
Common stock conversion basis	one-for-one basis
Common Class A [Member]
Class of Stock [Line Items]
Preferred stock shares issued	0	0
Preferred stock shares outstanding	0	0
Common stock shares authorized	800,000,000	800,000,000
Common stock par or stated value per share	$ 0.0001	$ 0.0001
Common stock shares issued	0	0
Common stock shares outstanding	0	0
Temporary equity shares outstanding	69,000,000	69,000,000
Common stock shares voting rights	one vote
Common Class B [Member]
Class of Stock [Line Items]
Common stock shares authorized	80,000,000	80,000,000
Common stock par or stated value per share	$ 0.0001	$ 0.0001
Common stock shares issued	14,785,715	14,785,715
Common stock shares outstanding	14,785,715	14,785,715
Common stock shares voting rights	one vote
Percentage of the issued and outstanding shares on the total number of shares after conversion from one class to another	15.00%
Common Class C [Member]
Class of Stock [Line Items]
Common stock shares authorized	80,000,000	80,000,000
Common stock par or stated value per share	$ 0.0001	$ 0.0001
Common stock shares issued	14,785,715	14,785,715
Common stock shares outstanding	14,785,715	14,785,715
Common stock shares voting rights	one vote
Number of trading days for determining the share price for conversion of common stock from one class to another	20 days
Number of consecutive trading days for determining the share price for conversion of common stock from one class to another	30 days
Percentage of the issued and outstanding shares on the total number of shares after conversion from one class to another	15.00%
Class B ordinary shares to Class A ordinary shares conversion ratio	one-for-one basis
Common Class C [Member] \| Third Anniversary [Member]
Class of Stock [Line Items]
Share price threshold for stock conversion	$ 15.25
Common Class C [Member] \| Sixth Anniversary [Member]
Class of Stock [Line Items]
Share price threshold for stock conversion	23
Common Class C [Member] \| Ninth Anniversary [Member]
Class of Stock [Line Items]
Share price threshold for stock conversion	$ 35

Austerlitz Acquisition Corp I 10-Q