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Goodwill and Identifiable Intangible Assets - Additional Information (Detail)
$ in Millions
 3 Months Ended 12 Months Ended
Dec. 31, 2019
USD ($)
Sep. 30, 2019
USD ($)
Dec. 31, 2018
USD ($)
Sep. 30, 2018
USD ($)
Dec. 31, 2019
USD ($)
asset-group
Dec. 31, 2017
USD ($)
Goodwill and Identifiable Intangible Assets [Line Items]            
Goodwill [1] $ 2,090.2   $ 2,080.3   $ 2,090.2 $ 1,912.0
Other intangible assets, net of accumulated amortization 1,168.9   1,246.8   1,168.9  
Expected intangible amortization expense in 2020 42.0       42.0  
Expected intangible amortization expense in 2021 42.0       42.0  
Expected intangible amortization expense in 2022 40.0       40.0  
Expected intangible amortization expense in 2023 39.0       39.0  
Expected intangible amortization expense in 2024 38.0       38.0  
Gross Carrying Amounts, Indefinite-lived tradenames 635.6   673.9   $ 635.6  
Tradenames and Customer Relationship [Member] | Minimum [Member]            
Goodwill and Identifiable Intangible Assets [Line Items]            
Amortizable identifiable intangible assets, estimated useful life         2 years  
Tradenames and Customer Relationship [Member] | Maximum [Member]            
Goodwill and Identifiable Intangible Assets [Line Items]            
Amortizable identifiable intangible assets, estimated useful life         30 years  
Cabinets [Member]            
Goodwill and Identifiable Intangible Assets [Line Items]            
Goodwill [1] 925.5   924.0   $ 925.5 $ 926.3
Decrease in gross identifiable intangible assets         34.0  
Impairment of intangible assets, trade names         $ 41.5  
Number of tradenames | asset-group         3  
Cabinets [Member] | Trade Names [Member]            
Goodwill and Identifiable Intangible Assets [Line Items]            
Impairment of intangible assets, trade names 12.0          
Gross Carrying Amounts, Indefinite-lived tradenames 38.6       $ 38.6  
Cabinets [Member] | Second Indefinite-Lived Trade Name [Member]            
Goodwill and Identifiable Intangible Assets [Line Items]            
Impairment of intangible assets, trade names   $ 29.5 $ 35.5      
Gross Carrying Amounts, Indefinite-lived tradenames 85.0       85.0  
Cabinets [Member] | Third Indefinite Lived-Trade Name [Member]            
Goodwill and Identifiable Intangible Assets [Line Items]            
Impairment of intangible assets, trade names       $ 27.1    
Gross Carrying Amounts, Indefinite-lived tradenames $ 39.1       $ 39.1  
Cabinets [Member] | Maximum [Member] | Second Indefinite-Lived Trade Name [Member]            
Goodwill and Identifiable Intangible Assets [Line Items]            
Estimated fair value in excess of carrying amount         10.00%  
Cabinets [Member] | Maximum [Member] | Third Indefinite Lived-Trade Name [Member]            
Goodwill and Identifiable Intangible Assets [Line Items]            
Estimated fair value in excess of carrying amount         10.00%  
[1] Net of accumulated impairment losses of $399.5 million in the Doors & Security segment.