Share-Based Compensation - Narrative (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
Oct. 01, 2022	Oct. 02, 2021	Oct. 03, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares authorized to be granted under Omnibus Equity Incentive Plan (in shares)	5,200,000
Exercise price as a percentage of fair value	100.00%
Stock-based compensation	$ 0.9	$ 1.9	$ 1.4
Tax benefit from compensation expense	$ 0.2	0.5	0.4
Unrecognized compensation expense, period for recognition	1 year 2 months 12 days
Aggregate intrinsic value of options exercised during period	$ 0.1	$ 1.1	$ 4.3
Unrecognized compensation costs	$ 0.4
Restricted Stock and Restricted Stock Units (RSUs)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Weighted-average grant date fair value of restricted stock awards (in dollars per share)	$ 17.45	$ 18.50	$ 18.64
Stock-based compensation	$ 2.6	$ 3.9	$ 2.7
Tax benefit from compensation expense	0.7	$ 1.0	$ 0.7
Unrecognized compensation expense	$ 1.0
Unrecognized compensation expense, period for recognition	6 months

Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercise, Percentage of Fair Value

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- Definition

Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

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- Definition

Amount of cost not yet recognized for nonvested award under share-based payment arrangement.

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Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

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Amount of cost to be recognized for option under share-based payment arrangement.

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Amount of tax benefit for recognition of expense of award under share-based payment arrangement.

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- Definition

The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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Number of shares authorized for issuance under share-based payment arrangement.

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Amount by which current fair value of underlying stock exceeds exercise price of fully vested and expected to vest exercisable or convertible options. Includes, but is not limited to, unvested options for which requisite service period has not been rendered but that are expected to vest based on achievement of performance condition, if forfeitures are recognized when they occur.

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