Earnings Per Share and Shareholders' Equity (Details) - USD ($)	3 Months Ended				6 Months Ended
	Jul. 03, 2021	Apr. 03, 2021	Jun. 27, 2020	Mar. 28, 2020	Jul. 03, 2021	Jun. 27, 2020	Oct. 31, 2018
Numerator:
Income (loss) from continuing operations	$ (111,900,000)		$ 12,400,000		$ (109,100,000)	$ 70,100,000
Income from discontinued operations, net of tax	54,200,000		48,200,000		89,500,000	96,900,000
Net income (loss)	$ (57,700,000)	$ 38,100,000	$ 60,600,000	$ 106,400,000	$ (19,600,000)	$ 167,000,000.0
Denominator:
Weighted average shares outstanding for basic EPS (in shares)	133,600,000		136,400,000		133,400,000	136,300,000
Dilutive effect of share-based awards (in shares)	0		1,100,000		0	1,000,000.0
Weighted average shares outstanding for diluted EPS (in shares)	133,600,000		137,500,000		133,400,000	137,300,000
Anti-dilutive share-based awards excluded from computation of diluted EPS (shares)	0		1,500,000		0	1,500,000
Stock repurchase program, authorized amount							$ 1,000,000,000.0
Repurchases of ordinary shares (shares)	0		0		0	0