Employee Benefit Plans (Details) - USD ($) $ in Millions		12 Months Ended
	Jan. 01, 2023	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Defined contribution plan recognized expenses		$ 3.0	$ 2.9	$ 3.1
Deferred compensation, retirement age		65 years
Deferred compensation requisite service period		10 years
Deferred compensation recorded liability (less than)		$ 0.1
Cash surrender value of life insurance		$ 3.4
Maximum
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Age of employee		65 years
Maximum | Subsequent Event | Forecast
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Age of employee	64 years
Retiree medical plan
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Deferred compensation requisite service period		10 years
Unfunded liability		$ 0.4	0.9
Net periodic postretirement benefit cost (less than in 2021 and 2020)		$ 0.1	$ 0.1	$ 0.1
Retiree medical plan | Subsequent Event | Forecast
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Deferred compensation requisite service period	10 years
Retiree medical plan | Minimum
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Age of employee		55 years
Retiree medical plan | Minimum | Subsequent Event | Forecast
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Age of employee	50 years
Retirement age (between)	60 years
Retiree medical plan | Maximum | Subsequent Event | Forecast
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Retirement age (between)	64 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		$ 0.3
Deferred compensation plan assets		7.7
Deferred compensation liability		7.7
Deferred compensation plan | Company owned life insurance policies
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Deferred compensation plan assets		$ 7.7