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Share-Based Compensation - Narrative (Details)
$ / shares in Units, $ in Millions
12 Months Ended
May 01, 2019
$ / shares
shares
Jan. 02, 2019
$ / shares
shares
Aug. 02, 2018
$ / shares
shares
Jan. 02, 2018
$ / shares
shares
Jan. 03, 2017
$ / shares
shares
Dec. 27, 2019
USD ($)
tranche
$ / shares
shares
Dec. 28, 2018
USD ($)
$ / shares
shares
Dec. 29, 2017
USD ($)
$ / shares
shares
Dec. 30, 2016
shares
Apr. 30, 2014
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Proceeds from stock options exercised | $           $ 1.1 $ 0.8 $ 1.6    
RSUs/PSUs                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Total remaining unrecognized compensation cost related to non-vested stock options | $           $ 7.9        
Compensation cost not yet recognized, period for recognition           1 year        
Number of shares awarded (shares)           230,037 223,531 208,743    
Price per share (usd per share) | $ / shares           $ 27.83 $ 46.10 $ 54.17    
RSUs/PSUs outstanding (shares)           459,276 683,295 761,152 932,036  
Restricted Stock Units (RSUs)                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Award vesting rights percentage           20.00%        
Award vesting period           4 years        
Number of vesting installments           4 years        
Number of vesting tranches | tranche           1        
PUs                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Award vesting rights percentage           33.00%        
Number of vesting installments           3 years        
Maximum | Restricted Stock Units (RSUs)                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Percent of award units granted, range           100.00%        
Minimum | Restricted Stock Units (RSUs)                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Percent of award units granted, range           0.00%        
2014 Omnibus Share Incentive Plan                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Maximum number of ordinary shares that may be covered by awards (shares)                   3,000,000
Number of shares issued per RSU/PSU (in shares)           1        
2014 Omnibus Share Incentive Plan | Restricted Stock Units (RSUs)                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Award vesting rights percentage           20.00%        
Percentage of awards that vest immediately           20.00%        
2014 Omnibus Share Incentive Plan | Maximum                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Options, expiration period           10 years        
2011 Omnibus Share Incentive Plan                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Maximum number of ordinary shares that may be granted to a single participant (shares)           0 0 0    
2011 Omnibus Share Incentive Plan | Stock options                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Options, expiration period           10 years        
Award vesting period           4 years        
Share Incentive Plan 1999                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Maximum number of ordinary shares that may be granted to a single participant (shares)           0        
Share Incentive Plan 1999 | Stock options                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Options, expiration period           10 years        
Award vesting period           4 years        
Non Employee Directors Plan                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Maximum number of ordinary shares that may be granted to a single participant (shares)           0        
Non Employee Directors Plan | Stock options                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Options, expiration period           10 years        
Award vesting period           4 years        
Non Employee Directors Plan | Restricted Stock                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Number of shares awarded (shares) 2,830 30,891 1,687 21,304 14,294          
Price per share (usd per share) | $ / shares $ 29.44 $ 28.32 $ 49.38 $ 46.93 $ 61.21          
Immediate Vesting | Restricted Stock                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Award vesting rights percentage           50.00%        
Immediate Vesting | 2011 Omnibus Share Incentive Plan | Stock options                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Award vesting rights percentage           20.00%        
Immediate Vesting | Share Incentive Plan 1999 | Stock options                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Award vesting rights percentage           20.00%        
Immediate Vesting | Non Employee Directors Plan | Stock options                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Award vesting rights percentage           20.00%        
Six-month Anniversary Upon Ceasing to be Member of Board of Directors | Restricted Stock                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Award vesting period           6 months