Stockholders' Equity (Tables)

6 Months Ended

Mar. 31, 2024

Stockholders' Equity Note [Abstract]

Summary of accumulated other comprehensive income (loss)

			Unrealized
			Gains (Losses)
			on Available-				Pension
	Currency		for-Sale		Gains (Losses)		Liability
	Translation		Securities		on Derivative asset		Adjustments
	Adjustments		Net of tax		Net of tax		Net of tax		Total
Balance at September 30, 2022	$	(165,694)	$	(10,909)	$	93,020	$	(333)	$	(83,916)
Other comprehensive income (loss) before reclassifications		111,264		4,042		(70,260)		—		45,046
Balance at March 31, 2023	$	(54,430)	$	(6,867)	$	22,760	$	(333)	$	(38,870)

			Unrealized
			Gains (Losses)
			on Available-				Pension
	Currency		for-Sale		Gains (Losses)		Liability
	Translation		Securities		on Derivative asset		Adjustments
	Adjustments		Net of tax		Net of tax		Net of tax			Total
Balance at September 30, 2023	$	(88,448)	$	(5,135)	$	31,487	$	(330)	$	(62,426)
Other comprehensive income (loss) before reclassifications		25,725		3,276		(8,288)		(61)		20,652
Amounts reclassified from accumulated other comprehensive income (loss)		—		—		—		46		46
Balance at March 31, 2024	$	(62,723)	$	(1,859)	$	23,199	$	(345)	$	(41,728)