Nature of Business and Summary of Significant Accounting Policies - Additional Information (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Depreciation and amortization, property and equipment	$ 10.7	$ 9.4	$ 10.1
Foreign exchange gains (losses)	1.1	(0.6)	(2.6)
Advertising and promotion costs	$ 29.7	$ 12.3	$ 9.8
Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock option awards vesting period	3 years
Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock option awards vesting period	4 years