Segments and Geographic Information - Summary of Net Sales by Reportable Segment, Disaggregated Based on Geographic Region (Detail) - USD ($) $ in Millions	3 Months Ended
	Mar. 31, 2023	Sep. 30, 2022	Mar. 31, 2022
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	$ 2,001.5	$ 2,001.5	$ 2,228.6
CCS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	822.8	822.8	838.0
OWN [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	258.4	258.4	390.1
NICS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	284.5	284.5	188.0
ANS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	298.7	298.7	316.8
Home [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	337.1	$ 337.1	495.7
United States [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	1,318.0		1,347.1
United States [Member] | CCS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	564.5		542.4
United States [Member] | OWN [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	184.7		270.9
United States [Member] | NICS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	174.7		97.3
United States [Member] | ANS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	223.6		192.2
United States [Member] | Home [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	170.5		244.3
Europe, Middle East and Africa (EMEA) [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	326.5		406.4
Europe, Middle East and Africa (EMEA) [Member] | CCS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	113.4		131.6
Europe, Middle East and Africa (EMEA) [Member] | OWN [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	47.8		71.4
Europe, Middle East and Africa (EMEA) [Member] | NICS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	70.0		61.2
Europe, Middle East and Africa (EMEA) [Member] | ANS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	33.4		32.0
Europe, Middle East and Africa (EMEA) [Member] | Home [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	61.9		110.2
Asia Pacific (APAC) [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	158.9		203.4
Asia Pacific (APAC) [Member] | CCS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	90.1		101.4
Asia Pacific (APAC) [Member] | OWN [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	20.3		28.2
Asia Pacific (APAC) [Member] | NICS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	29.2		24.0
Asia Pacific (APAC) [Member] | ANS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	5.0		29.2
Asia Pacific (APAC) [Member] | Home [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	14.3		20.6
Caribbean and Latin America (CALA) [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	107.9		162.3
Caribbean and Latin America (CALA) [Member] | CCS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	37.4		42.0
Caribbean and Latin America (CALA) [Member] | OWN [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	3.2		8.8
Caribbean and Latin America (CALA) [Member] | NICS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	7.1		3.2
Caribbean and Latin America (CALA) [Member] | ANS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	21.7		49.3
Caribbean and Latin America (CALA) [Member] | Home [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	38.5		59.0
Canada [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	90.2		109.4
Canada [Member] | CCS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	17.4		20.6
Canada [Member] | OWN [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	2.4		10.8
Canada [Member] | NICS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	3.5		2.3
Canada [Member] | ANS [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	15.0		14.1
Canada [Member] | Home [Member]
Revenues From External Customers And Long Lived Assets [Line Items]
Net sales	$ 51.9		$ 61.6