Segment Information - Operating Segment Information (Details) $ in Thousands	3 Months Ended		6 Months Ended
	Mar. 31, 2025 USD ($)	Mar. 31, 2024 USD ($)	Mar. 31, 2025 USD ($) segment	Mar. 31, 2024 USD ($)
Segment Reporting Information [Line Items]
Number of reportable segments | segment			3
Revenues:
Total revenues	$ 306,316	$ 285,639	$ 626,486	$ 585,630
Gross profit	178,452	167,592	363,856	340,165
Segment and corporate expenses (income):
Store expenses	116,527	114,582	232,978	225,137
General and administrative	19,640	18,266	38,309	34,809
Depreciation and amortization	8,020	8,219	16,355	16,784
(Gain) loss on sale or disposal of assets and other	17	3	25	(169)
Other income		(765)		(765)
Interest expense	3,281	3,402	6,428	6,842
Interest income	(1,875)	(2,882)	(3,968)	(5,521)
Equity in net (income) loss of unconsolidated affiliates	(1,505)	(1,719)	(2,980)	(2,872)
Other expense (income)	(65)	(165)	913	(436)
Income before income taxes	34,412	28,651	75,796	66,356
Operating Segments
Revenues:
Total revenues	306,316	285,639	626,486	585,630
Gross profit	178,452	167,592	363,856	340,165
Segment and corporate expenses (income):
Store expenses	116,527	114,582	232,978	225,137
General and administrative	0	0	0	0
Depreciation and amortization	4,671	4,908	9,434	9,871
(Gain) loss on sale or disposal of assets and other	17	(96)	25	(266)
Other income		0		0
Interest expense	0	0	0	0
Interest income	(942)	(1,241)	(1,738)	(2,234)
Equity in net (income) loss of unconsolidated affiliates	(1,866)	(1,719)	(3,489)	(2,872)
Other expense (income)	(133)	15	(215)	(32)
Income before income taxes	60,178	51,143	126,861	110,561
Operating Segments | U.S. Pawn
Revenues:
Total revenues	221,385	207,574	453,586	425,012
Gross profit	133,378	123,982	272,055	251,427
Segment and corporate expenses (income):
Store expenses	83,532	80,840	166,621	158,095
General and administrative	0	0	0	0
Depreciation and amortization	2,682	2,516	5,399	5,140
(Gain) loss on sale or disposal of assets and other	17	(30)	17	(4)
Other income		0		0
Interest expense	0	0	0	0
Interest income	0	0	0	0
Equity in net (income) loss of unconsolidated affiliates	0	0	0	0
Other expense (income)	4	0	(7)	0
Income before income taxes	47,143	40,656	100,025	88,196
Operating Segments | Latin America Pawn
Revenues:
Total revenues	84,931	78,034	172,900	160,583
Gross profit	45,074	43,579	91,801	88,703
Segment and corporate expenses (income):
Store expenses	32,995	33,742	66,357	67,042
General and administrative	0	0	0	0
Depreciation and amortization	1,989	2,392	4,035	4,731
(Gain) loss on sale or disposal of assets and other	0	(66)	8	(262)
Other income		0		0
Interest expense	0	0	0	0
Interest income	(337)	(608)	(539)	(1,028)
Equity in net (income) loss of unconsolidated affiliates	0	0	0	0
Other expense (income)	(137)	1	(208)	(47)
Income before income taxes	10,564	8,118	22,148	18,267
Operating Segments | Other Investments
Revenues:
Total revenues	0	31	0	35
Gross profit	0	31	0	35
Segment and corporate expenses (income):
Store expenses	0	0	0	0
General and administrative	0	0	0	0
Depreciation and amortization	0	0	0	0
(Gain) loss on sale or disposal of assets and other	0	0	0	0
Other income		0		0
Interest expense	0	0	0	0
Interest income	(605)	(633)	(1,199)	(1,206)
Equity in net (income) loss of unconsolidated affiliates	(1,866)	(1,719)	(3,489)	(2,872)
Other expense (income)	0	14	0	15
Income before income taxes	2,471	2,369	4,688	4,098
Corporate Items
Revenues:
Total revenues	0	0	0	0
Gross profit	0	0	0	0
Segment and corporate expenses (income):
Store expenses	0	0	0	0
General and administrative	19,640	18,266	38,309	34,809
Depreciation and amortization	3,349	3,311	6,921	6,913
(Gain) loss on sale or disposal of assets and other	0	99	0	97
Other income		(765)		(765)
Interest expense	3,281	3,402	6,428	6,842
Interest income	(933)	(1,641)	(2,230)	(3,287)
Equity in net (income) loss of unconsolidated affiliates	361	0	509	0
Other expense (income)	68	(180)	1,128	(404)
Income before income taxes	(25,766)	(22,492)	(51,065)	(44,205)
Merchandise sales
Revenues:
Total revenues	169,467	164,687	355,810	344,090
Cost of goods sold	111,555	106,259	233,379	221,469
Merchandise sales | Operating Segments
Revenues:
Total revenues	169,467	164,687	355,810	344,090
Cost of goods sold	111,555	106,259	233,379	221,469
Merchandise sales | Operating Segments | U.S. Pawn
Revenues:
Total revenues	116,915	114,849	245,715	240,362
Cost of goods sold	74,772	72,798	156,328	151,507
Merchandise sales | Operating Segments | Latin America Pawn
Revenues:
Total revenues	52,552	49,838	110,095	103,728
Cost of goods sold	36,783	33,461	77,051	69,962
Merchandise sales | Operating Segments | Other Investments
Revenues:
Total revenues	0	0	0	0
Cost of goods sold	0	0	0	0
Merchandise sales | Corporate Items
Revenues:
Total revenues	0	0	0	0
Cost of goods sold	0	0	0	0
Jewelry scrapping sales
Revenues:
Total revenues	20,938	13,714	37,670	27,796
Cost of goods sold	16,309	11,788	29,251	23,996
Jewelry scrapping sales | Operating Segments
Revenues:
Total revenues	20,938	13,714	37,670	27,796
Cost of goods sold	16,309	11,788	29,251	23,996
Jewelry scrapping sales | Operating Segments | U.S. Pawn
Revenues:
Total revenues	16,898	12,686	32,396	25,501
Cost of goods sold	13,235	10,794	25,203	22,078
Jewelry scrapping sales | Operating Segments | Latin America Pawn
Revenues:
Total revenues	4,040	1,028	5,274	2,295
Cost of goods sold	3,074	994	4,048	1,918
Jewelry scrapping sales | Operating Segments | Other Investments
Revenues:
Total revenues	0	0	0	0
Cost of goods sold	0	0	0	0
Jewelry scrapping sales | Corporate Items
Revenues:
Total revenues	0	0	0	0
Cost of goods sold	0	0	0	0
Pawn service charges
Revenues:
Total revenues	115,871	107,163	232,923	213,612
Pawn service charges | Operating Segments
Revenues:
Total revenues	115,871	107,163	232,923	213,612
Pawn service charges | Operating Segments | U.S. Pawn
Revenues:
Total revenues	87,548	80,010	175,424	159,083
Pawn service charges | Operating Segments | Latin America Pawn
Revenues:
Total revenues	28,323	27,153	57,499	54,529
Pawn service charges | Operating Segments | Other Investments
Revenues:
Total revenues	0	0	0	0
Pawn service charges | Corporate Items
Revenues:
Total revenues	0	0	0	0
Other revenues
Revenues:
Total revenues	40	75	83	132
Other revenues | Operating Segments
Revenues:
Total revenues	40	75	83	132
Other revenues | Operating Segments | U.S. Pawn
Revenues:
Total revenues	24	29	51	66
Other revenues | Operating Segments | Latin America Pawn
Revenues:
Total revenues	16	15	32	31
Other revenues | Operating Segments | Other Investments
Revenues:
Total revenues	0	31	0	35
Other revenues | Corporate Items
Revenues:
Total revenues	$ 0	$ 0	$ 0	$ 0