Earnings Per Share and Shareholders' Equity (Details) - USD ($) $ in Millions	3 Months Ended
	Apr. 02, 2022	Apr. 03, 2021	Oct. 31, 2018
Numerator:
Income (loss) from continuing operations	$ (1.3)	$ 2.8
Income (loss) from discontinued operations, net of tax	(1.1)	35.3
Net income (loss)	$ (2.4)	$ 38.1
Denominator:
Weighted average shares outstanding for basic EPS (in shares)	134,000,000.0	133,200,000
Dilutive effect of share-based awards (in shares)	0	1,400,000
Weighted average shares outstanding for diluted EPS (in shares)	134,000,000.0	134,600,000
Anti-dilutive share-based awards excluded from computation of diluted EPS (shares)	0	1,800,000
Stock repurchase program, authorized amount			$ 1,000.0
Repurchases of ordinary shares (shares)	0	0