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Business Combinations - Narrative (Details) $ in Thousands			3 Months Ended		4 Months Ended	6 Months Ended
Business Combinations - Narrative (Details) $ in Thousands	Jan. 20, 2022 USD ($)	Oct. 04, 2021 USD ($)	Sep. 30, 2022 USD ($)	Sep. 30, 2021 USD ($)	Jan. 31, 2022 USD ($)	Sep. 30, 2022 USD ($)	Sep. 30, 2021 USD ($)	Jun. 30, 2022 USD ($)	Mar. 31, 2022 USD ($)	Oct. 04, 2021 ¥ / shares
Business Acquisition [Line Items]
Goodwill			$ 1,051,294			$ 1,051,294			$ 1,070,442
Provision for income taxes			23,537	$ 43,583		28,576	$ 65,400
GCA Corporation
Business Acquisition [Line Items]
Investment interest in Italy (as a percent)		90.00%
Payments to acquire businesses, gross	$ 57,686	$ 531,883			$ 589,569
Cash consideration per share \| ¥ / shares										¥ 1,398
Goodwill		$ 393,300	393,254			393,254		$ 394,214
GCA Corporation \| Acquisition-related Costs
Business Acquisition [Line Items]
Business combination, acquisition related costs			0	(1,006)		0	(1,077)
Amortization			(14,688)	2,138		(29,306)	11,680
Provision for income taxes			$ 4,098	$ (316)		$ 5,246	$ (2,619)