Employee Benefit Plans (Details) - USD ($) $ in Millions		12 Months Ended
	Jan. 01, 2023	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Defined contribution plan recognized expenses		$ 3.4	$ 3.0	$ 2.9
Maximum
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Age of employee		65 years
Retiree medical plan
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Deferred compensation requisite service period	10 years	10 years
Unfunded liability		$ 0.5	0.4
Retiree medical plan | Minimum
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Age of employee	50 years	55 years
Retirement age (between)	60 years
Deferred compensation plan
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Percentage of employee based salary permitted for deferral under the plan		50.00%
Percentage of employee annual bonus permitted for deferral under the plan		100.00%
Deferred compensation expense adjustment		$ 0.8	$ 0.3
Deferred compensation plan assets		9.1
Deferred compensation liability		9.1
Deferred compensation plan | Company owned life insurance policies
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Deferred compensation plan assets		$ 9.1