Earnings Per Share and Shareholders' Equity (Details) - USD ($)	3 Months Ended
	Apr. 03, 2021	Mar. 28, 2020	Oct. 31, 2018
Numerator:
Income from continuing operations	$ 2,800,000	$ 57,600,000
Income from discontinued operations, net of tax	35,300,000	48,800,000
Net income	$ 38,100,000	$ 106,400,000
Denominator:
Weighted average shares outstanding for basic EPS	133,200,000	136,200,000
Dilutive effect of share-based awards (in shares)	1,400,000	1,100,000
Weighted average shares outstanding for diluted EPS	134,600,000	137,300,000
Anti-dilutive share-based awards excluded from computation of diluted EPS (shares)	1,800,000	1,700,000
Stock repurchase program, authorized amount			$ 1,000,000,000.0
Repurchases of ordinary shares (shares)	0	0