ACQUISITIONS - Narrative (Details) $ in Millions				2 Months Ended	12 Months Ended
	Feb. 18, 2022 USD ($)	May 28, 2021 USD ($)	Oct. 26, 2020 USD ($)	Mar. 31, 2022 USD ($)	Sep. 30, 2022 USD ($)	Sep. 30, 2021 USD ($)	Sep. 30, 2020 USD ($)
Business Acquisition [Line Items]
Goodwill					$ 953.1	$ 867.2	$ 627.2
Gain from contingent consideration liability					28.5	0.0	$ 0.0
TSA income
Business Acquisition [Line Items]
Net TSA (loss) income					$ 0.9
Tristar
Business Acquisition [Line Items]
Total purchase price	$ 302.4			$ 325.0
Trademark license, total potential renewal period					3 years
Goodwill	108.1
Contingent consideration	30.0				$ 1.5
Gain from contingent consideration liability					28.5
Revenue of acquiree since acquisition date					189.7
Cash paid at closing	$ 314.6
Tristar | Affiliated Entity
Business Acquisition [Line Items]
Transaction costs					13.5
Due to related parties					2.1
Tristar | Tradenames | Measurement Input, Royalty Rate | Valuation, Income Approach
Business Acquisition [Line Items]
Intangible asset, measurement input	0.03
Tristar | Tradenames | Measurement Input, Discount Rate | Valuation Technique, Discounted Cash Flow
Business Acquisition [Line Items]
Intangible asset, measurement input	0.16
Tristar | Customer relationships
Business Acquisition [Line Items]
Annual expected growth rate	0.027
Tristar | Customer relationships | Measurement Input, Discount Rate | Valuation Technique, Discounted Cash Flow
Business Acquisition [Line Items]
Intangible asset, measurement input	0.12
Tristar | Customer relationships | Measurement Input, Attrition Rate | Valuation Technique, Discounted Cash Flow
Business Acquisition [Line Items]
Intangible asset, measurement input	0.05
Tristar | Minimum
Business Acquisition [Line Items]
Accrued royalties, annual payments					1.5
Tristar | Maximum
Business Acquisition [Line Items]
Accrued royalties, annual payments					$ 1.8
Tristar | Gross Profit Target Achieved Year 2022
Business Acquisition [Line Items]
Contingent consideration	$ 100.0
Tristar | Gross Profit Target Achieved Year 2023
Business Acquisition [Line Items]
Contingent consideration	$ 25.0
Rejuvenate
Business Acquisition [Line Items]
Goodwill		$ 147.0
Transaction costs						5.3
Cash paid at closing		$ 301.5
Rejuvenate | Tradenames | Measurement Input, Royalty Rate | Valuation, Income Approach
Business Acquisition [Line Items]
Intangible asset, measurement input		0.12
Rejuvenate | Tradenames | Measurement Input, Discount Rate | Valuation Technique, Discounted Cash Flow
Business Acquisition [Line Items]
Intangible asset, measurement input		0.105
Rejuvenate | Customer relationships
Business Acquisition [Line Items]
Annual expected growth rate		0.04
Rejuvenate | Customer relationships | Measurement Input, Discount Rate | Valuation Technique, Discounted Cash Flow
Business Acquisition [Line Items]
Intangible asset, measurement input		0.105
Rejuvenate | Customer relationships | Measurement Input, Attrition Rate | Valuation Technique, Discounted Cash Flow
Business Acquisition [Line Items]
Intangible asset, measurement input		0.05
Rejuvenate | Technology assets | Measurement Input, Royalty Rate | Valuation, Income Approach
Business Acquisition [Line Items]
Intangible asset, measurement input		0.03
Rejuvenate | Technology assets | Measurement Input, Discount Rate | Valuation Technique, Discounted Cash Flow
Business Acquisition [Line Items]
Intangible asset, measurement input		0.105
Armitage
Business Acquisition [Line Items]
Total purchase price			$ 136.7
Goodwill			90.7
Transaction costs						$ 5.1
Cash paid at closing			$ 187.7
Armitage | Measurement Input, Discount Rate | Valuation Technique, Discounted Cash Flow
Business Acquisition [Line Items]
Intangible asset, measurement input			0.11
Armitage | Good Boy | Measurement Input, Royalty Rate | Valuation, Income Approach
Business Acquisition [Line Items]
Intangible asset, measurement input			0.08
Armitage | Wildbird | Measurement Input, Royalty Rate | Valuation, Income Approach
Business Acquisition [Line Items]
Intangible asset, measurement input			0.03