Share-Based Compensation - Stock Option Activity (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
Oct. 01, 2022	Oct. 02, 2021	Oct. 03, 2020
Number of Options
Outstanding at beginning of period (in shares)	626,167
Granted (in shares)	169,465
Exercised (in shares)	(15,586)
Forfeited (in shares)	(205,879)
Outstanding at end of period (in shares)	516,587	626,167
Fully vested and expected to vest (in shares)	372,120
Weighted Average Exercise Price per Share ($)
Outstanding at beginning of period (in dollars per share)	$ 17.93
Granted (in dollars per share)	19.37
Exercised (in dollars per share)	18.28
Forfeited (in dollars per share)	17.86
Outstanding at end of period (in dollars per share)	18.07	$ 17.93
Fully vested and expected to vest (in dollars per share)	$ 17.70
Aggregate intrinsic value of options exercised during period	$ 0.1	$ 1.1	$ 4.3
Aggregate intrinsic value	(5.0)
Aggregate intrinsic value of options vested and exercisable	$ (3.5)

The number of shares under options that were cancelled during the reporting period as a result of occurrence of a terminating event specified in contractual agreements pertaining to the stock option plan.

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Gross number of share options (or share units) granted during the period.

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Amount by which the current fair value of the underlying stock exceeds the exercise price of options outstanding.

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Number of options outstanding, including both vested and non-vested options.

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A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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Weighted average price at which grantees can acquire the shares reserved for issuance under the stock option plan.

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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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Number of fully vested and expected to vest options outstanding that can be converted into shares under option plan. 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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Weighted-average exercise price, at which grantee can acquire shares reserved for issuance, for fully vested and expected to vest options outstanding. 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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Weighted average price at which option holders acquired shares when converting their stock options into shares.

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Weighted average price at which grantees could have acquired the underlying shares with respect to stock options that were terminated.

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Weighted average per share amount at which grantees can acquire shares of common stock by exercise of options.

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Amount of difference between fair value of the underlying shares reserved for issuance and exercise price of vested portions of options outstanding and currently exercisable.

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Number of share options (or share units) exercised during the current period.

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