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Fair Value Measurements - Accumulated Other Comprehensive Loss (Details) $ in Thousands	6 Months Ended
	Mar. 31, 2025 USD ($)
Increase (Decrease) in Shareholders' Equity
Beginning balance	$ 1,842,815
Ending balance	1,667,474
Foreign currency translation adjustment
Increase (Decrease) in Shareholders' Equity
Beginning balance	(39,225)
Other comprehensive income before reclassifications	(7,089)
Amounts reclassified from accumulated other comprehensive loss	21,272
Net current period other comprehensive income/(loss)	14,183
Ending balance	(25,042)
Net unrealized gain on derivatives, net of tax
Increase (Decrease) in Shareholders' Equity
Beginning balance	6,765
Other comprehensive income before reclassifications	4,360
Amounts reclassified from accumulated other comprehensive loss	(4,458)
Net current period other comprehensive income/(loss)	(98)
Ending balance	6,667
Total
Increase (Decrease) in Shareholders' Equity
Beginning balance	(32,460)
Other comprehensive income before reclassifications	(2,729)
Amounts reclassified from accumulated other comprehensive loss	16,814
Net current period other comprehensive income/(loss)	14,085
Ending balance	$ (18,375)

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