Share-based Compensation Arrangement by Share-based Payment Award, Annual Long-term Cash Awards Authorized per Employee

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Share-based Compensation Arrangement by Share-based Payment Award, Number of Annual Vesting Installments

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Share-based Compensation Arrangement by Share-based Payment Award, Payout, Average Economic Return Threshold, Percent

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Share-based Compensation Arrangement by Share-based Payment Award, Payout, Percent of Shares Granted

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Share-based Compensation Arrangement by Share-based Payment Award, Payout, Total Shareholder Return Threshold, Percent

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Amount of increase in additional paid in capital (APIC) resulting from a tax benefit associated with share-based compensation plan other than an employee stock ownership plan (ESOP). Includes, but is not limited to, excess tax benefit.

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

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Amount of contributions made by employer into fund established for purposes of making future disbursement to individual in accordance with deferred compensation arrangement.

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The carrying amount of the liability as of the balance sheet date to an individual under a deferred compensation arrangement. This amount may be the result of periodic accruals made over the period of active employment, or reflect termination benefits resulting contractual terms or a death benefit.

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Carrying amount as of the balance sheet date of assets held under deferred compensation agreements.

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Amount of cost for defined contribution plan.

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Percentage of employees' gross pay for which the employer contributes a matching contribution to a defined contribution plan.

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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 nonvested award under share-based payment arrangement. Excludes share and unit options.

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Period over which grantee's right to exercise award under share-based payment arrangement is no longer contingent on satisfaction of service or performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Includes, but is not limited to, combination of market, performance or service condition.

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The number of grants made 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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The number of non-vested equity-based payment instruments, excluding stock (or unit) options, that validly exist and are outstanding as of the balance sheet date.

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The number of equity-based payment instruments, excluding stock (or unit) options, that vested during the reporting period.

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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 of accumulated difference between fair value of underlying shares on dates of exercise and exercise price on options exercised (or share units converted) into shares.

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Number of shares issued under share-based payment arrangement.

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Percentage of vesting of award under share-based payment arrangement.

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Period from grant date that an equity-based award expires, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Fair value of options vested. Excludes equity instruments other than options, for example, but not limited to, share units, stock appreciation rights, restricted stock.

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Benefit Plans - Narrative (Details)	12 Months Ended
Benefit Plans - Narrative (Details)	Oct. 02, 2021 USD ($) installment shares	Oct. 03, 2020 USD ($) shares	Sep. 28, 2019 USD ($) shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation expense	$ 24,800,000	$ 24,300,000	$ 21,300,000
Deferred tax benefits recognized related to equity awards	$ 7,000,000	8,200,000	9,200,000
Employer matching contribution, percent of eligible earnings (up to)	4.00%
Amount of contributions made to 401K	$ 9,300,000	9,800,000	9,300,000
SERP
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Amount of contributions made to participants' SERP accounts	700,000	700,000	$ 600,000
Total value of assets held by trust	14,100,000	12,600,000
Deferred compensation liability	14,100,000	$ 12,600,000
RSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
RSU unrecognized compensation expense	$ 18,900,000
RSU, unrecognized compensation expense, weighted average period of recognition	1 year 3 months 18 days
PSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Performance period	3 years
Payout, percent of shares granted	100.00%
RSU unrecognized compensation expense	$ 8,400,000
RSU, unrecognized compensation expense, weighted average period of recognition	1 year 9 months 18 days
Vested (in shares) \| shares	100,000
Granted (in shares) \| shares	100,000	100,000	100,000
PSUs \| Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of shares that may be issued (in shares) \| shares	0
PSUs \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of shares that may be issued (in shares) \| shares	400,000
PSUs \| Vest Based on Market Condition - Relative TSR of Common Stock Compared to Companies in Russell 3000 Index or S&P 400 Index
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Payout, percent of shares granted	150.00%
Payout at target, TSR threshold percent of companies in Russell 3000 Index during performance period	50.00%
PSUs \| Vest Based on Market Condition - Relative TSR of Common Stock Compared to Companies in Russell 3000 Index or S&P 400 Index \| Minimum \| Russell 3000
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting percentage	0.00%
PSUs \| Vest Based on Market Condition - Relative TSR of Common Stock Compared to Companies in Russell 3000 Index or S&P 400 Index \| Minimum \| S&P 400
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting percentage	0.00%
PSUs \| Vest Based on Market Condition - Relative TSR of Common Stock Compared to Companies in Russell 3000 Index or S&P 400 Index \| Maximum \| Russell 3000
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting percentage	200.00%
PSUs \| Vest Based on Market Condition - Relative TSR of Common Stock Compared to Companies in Russell 3000 Index or S&P 400 Index \| Maximum \| S&P 400
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting percentage	150.00%
PSUs \| Vest Based on Performance Condition - Three-Point Annual Average of Absolute Economic Return
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Payout at target, average economic return threshold percentage over performance period	2.50%
Options and SARs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Options and SARS granted in period \| shares	0	0	0
Options and SARS fair value vested in period	$ 0	$ 0	$ 300,000
Options and SARS total intrinsic value exercised	$ 5,400,000	$ 10,900,000	$ 2,400,000
2016 Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Maximum number of shares authorized under the plan (in shares) \| shares	3,200,000
2016 Plan \| Cash Incentive Awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Long-term cash awards per employee that may be granted annually	$ 4,000,000
2016 Plan \| Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of annual vesting installments \| installment	2
Term	10 years
2016 Plan \| SARs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of annual vesting installments \| installment	2
Term	7 years
2016 Plan \| RSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Performance period	3 years
2016 Plan \| PSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Performance period	3 years
2016 Plan \| PSUs \| Vest Based on Market Condition - Relative TSR of Common Stock Compared to Companies in Russell 3000 Index or S&P 400 Index
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting percentage	50.00%
2016 Plan \| PSUs \| Vest Based on Performance Condition - Three-Point Annual Average of Absolute Economic Return
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting percentage	50.00%