Earnings Per Share and Shareholders' Equity (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	3 Months Ended						9 Months Ended
	Sep. 28, 2019	Jun. 29, 2019	Mar. 30, 2019	Sep. 29, 2018	Jun. 30, 2018	Mar. 31, 2018	Sep. 28, 2019	Sep. 29, 2018	Oct. 31, 2018
Numerator:
Net income (loss)	$ 92.2	$ 9.0	$ 63.9	$ (67.5)	$ 36.2	$ 80.8	$ 165.1	$ 49.6
Denominator:
Weighted average shares outstanding for basic EPS	136.0			137.4			136.0	138.5
Dilutive effect of share-based awards (in shares)	0.8			0.0			0.4	0.5
Weighted average shares outstanding for diluted EPS	136.8			137.4			136.4	139.0
Anti-dilutive share-based awards excluded from computation of diluted EPS (shares)	1.5			0.0			1.8	1.2
Stock repurchase program, authorized amount									$ 1,000.0
Repurchases of ordinary shares (shares)	0.0						0.0
Share price (in dollars per share)				$ 73.46				$ 77.93
Repurchase of equity amount				$ 135.0				$ 400.0
Ordinary Shares Issued
Denominator:
Repurchases of ordinary shares (shares)				1.8	2.0	1.3		5.1