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Goodwill and Intangible Assets - Schedule of Carrying Value and Accumulated Amortization for Intangible Assets (Details) - USD ($) $ in Millions	Jan. 03, 2021	Sep. 30, 2020
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 1,049.5	$ 1,028.8
Accumulated Amortization	(625.1)	(604.6)
Net	424.4	424.2
Total Intangible Assets, Gross Carrying Amount	2,141.8	2,036.3
Total Intangible Assets, Net	1,516.7	1,431.7
Tradenames
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	1,092.3	1,007.5
Net	1,092.3	1,007.5
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	712.7	692.1
Accumulated Amortization	(381.1)	(367.9)
Net	331.6	324.2
Technology assets
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	175.8	175.7
Accumulated Amortization	(107.8)	(104.1)
Net	68.0	71.6
Tradenames
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	161.0	161.0
Accumulated Amortization	(136.2)	(132.6)
Net	$ 24.8	$ 28.4

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- Definition

Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

+ References

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-Publisher FASB
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-Topic 350
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Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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-Publisher FASB
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