Inventories (Schedule of Inventories) (Details) - USD ($) $ in Thousands		Mar. 31, 2025	Sep. 30, 2024
Inventory, Net [Abstract]
Raw materials		$ 186,797	$ 161,734
Work in progress		151,999	147,676
Component parts	[1]	391,505	376,456
Finished goods		94,717	91,787
Customer supplied inventory		16,648	20,563
On-hand inventory for which control has transferred to the customer		(207,158)	(189,124)
Inventory, net		$ 634,508	$ 609,092

[1] Component parts include items that can be sold separately as finished goods or included in the manufacture of other products.