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Share-Based Compensation - Time-Based Options (Details) - USD ($) $ / shares in Units, $ in Millions	1 Months Ended	12 Months Ended
	Sep. 30, 2020	Oct. 02, 2020	Sep. 27, 2019	Sep. 28, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Allocated share-based compensation expense		$ 30.3	$ 55.3	$ 88.3
Time-Based Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period		4 years
Requisite service period	3 years
Award expiration period		10 years
Expected volatility		30.00%	20.00%	20.00%
Expected life (in years)		6 years 2 months 19 days	6 years 3 months	6 years 3 months
Risk-free interest rate, minimum		0.40%	1.62%	2.25%
Risk-free interest rate, maximum		1.74%	3.02%	2.94%
Weighted-average grant-date fair value (in dollars per share)		$ 9.07	$ 8.23	$ 8.75
Total intrinsic value exercised (in millions)		$ 114.6	$ 26.8	$ 16.6
Total fair value that vested (in millions)		9.9	16.3	17.3
Performance-Based Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total intrinsic value exercised (in millions)		$ 34.9	$ 8.9	$ 7.4
Retention Time-Based Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Expected volatility		37.82%
Expected dividend yield		1.55%
Expected life (in years)		7 years
Risk-free interest rate		0.50%
Weighted-average grant-date fair value (in dollars per share)		$ 3.93
Minimum | Time-Based Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Expected dividend yield		1.01%	1.17%	1.03%
Maximum | Time-Based Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Expected dividend yield		2.09%	1.44%	1.11%
Time-Based Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Allocated share-based compensation expense		$ 10.8	$ 14.7	$ 18.5

X

- Definition

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

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Estimated period over which an employee is required to provide service in exchange for the equity-based payment award, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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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 estimated dividend rate (a percentage of the share price) to be paid (expected dividends) to holders of the underlying shares over the option's term.

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The estimated measure of the percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period.

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The risk-free interest rate assumption that is used in valuing an option on its own shares.

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The maximum risk-free interest rate assumption that is used in valuing an option on its own shares.

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The minimum risk-free interest rate assumption that is used in valuing an option on its own shares.

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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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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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The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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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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Expected term of 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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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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