Defined Contribution Plans - Additional Information (Detail) - USD ($) $ in Millions		12 Months Ended
	Dec. 31, 2021	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Defined Contribution Plan Disclosure [Line Items]
Contributions to defined contribution plans		$ 1.7	$ 1.1	$ 1.0
U.S. [Member] | 401 (K) Retirement and Savings Plan [Member]
Defined Contribution Plan Disclosure [Line Items]
Percentage of employee contributions, eligible for employer match	6.00%
Percentage of employee contributions	3.00%	4.00%
Ireland [Member] | Defined Contribution PRSA Plan [Member]
Defined Contribution Plan Disclosure [Line Items]
Percentage of employee contributions, eligible for employer match		6.00%
Percentage of employee contributions		8.00%