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Summary of Significant Accounting Policies - (Tables)
 12 Months Ended
Jan. 31, 2019
Property, Plant and Equipment [Abstract]  
Property, Plant and Equipment
Depreciation is calculated on a straight-line basis over the following estimated useful lives:
Buildings
39 years
Machinery and equipment
5-15 years
Office equipment
3-8 years
Software
5-10 years
Furniture and fixtures
3-10 years
 
January 31,
 
(in millions)
2019

2018

Land
          $
41.8

          $
41.8

Buildings
122.6

123.0

Leasehold and building improvements
1,378.1

1,328.6

Office equipment
286.0

267.4

Software
452.2

353.2

Furniture and fixtures
315.0

311.6

Machinery and equipment
197.8

187.4

Construction-in-progress
98.7

105.1

 
2,892.2

2,718.1

Accumulated depreciation and amortization
(1,865.5
)
(1,727.6
)
 
          $
1,026.7

          $
990.5
Intangible Assets, Net (Excluding Goodwill) [Abstract]  
Schedule of Finite-Lived Intangible Assets
The following table summarizes intangible assets and key money, included in Other assets, net, as follows:
 
January 31, 2019
January 31, 2018
(in millions)
Gross Carrying Amount
Accumulated Amortization
Gross Carrying
Amount
Accumulated Amortization
Product rights
$
48.9

$
(16.0
)
$
48.9

$
(13.5
)
Key money
34.1

(6.0
)
36.8

(5.5
)
Trademarks
2.5

(2.5
)
2.5

(2.5
)
 
$
85.5

$
(24.5
)
$
88.2

$
(21.5
)
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Goodwill
At January 31, 2019 and 2018, goodwill, included in Other assets, net, consisted of the following by reportable segment:
(in millions)
Americas
Asia-Pacific
Japan
Europe
Other
Total
January 31, 2017
$
12.1

$
0.3

$
1.0

$
1.1

$
23.9

$
38.4

   Translation
0.1

—

—

—

0.6

0.7

January 31, 2018
12.2

0.3

1.0

1.1

24.5

39.1

   Translation
(0.1
)
—

—

—

(0.3
)
(0.4
)
January 31, 2019
$
12.1

$
0.3

$
1.0

$
1.1

$
24.2

$
38.7
Revenue Recognition [Abstract]  
Revenue from External Customers by Products and Services
The following table disaggregates the Company's net sales by major source:
 
Years Ended January 31,
 
(in millions)
2019
 
2018
 
2017
Net sales*:
 
 
 
 
 
Jewelry collections
$
2,374.1

 
$
2,146.6

 
$
1,991.0

Engagement jewelry
1,157.4

 
1,111.9

 
1,174.9

Designer jewelry
544.5

 
551.2

 
529.1

All other
366.1

 
360.1

 
306.8

 
$
4,442.1

 
$
4,169.8

 
$
4,001.8

*Certain reclassifications within the jewelry categories have been made to the prior year amounts to conform to the current year category presentation.
Earnings Per Share [Abstract]  
Schedule of Earnings Per Share, Basic and Diluted
The following table summarizes the reconciliation of the numerators and denominators for the basic and diluted EPS computations:
 
Years Ended January 31,
 
(in millions)
2019

2018

2017

Net earnings for basic and diluted EPS
$
586.4

$
370.1

$
446.1

Weighted-average shares for basic EPS
122.9

124.5

125.1

Incremental shares based upon the assumed exercise of stock options and unvested restricted stock units
0.6

0.6

0.4

Weighted-average shares for diluted EPS
123.5

125.1

125.5
Accounting Changes [Abstract]  
Schedule of New Accounting Pronouncements and Changes in Accounting Principles
The impact of the adoption of ASU 2014-09 on the Company's consolidated balance sheet was as follows:
 
January 31, 2019
(in millions)
As Reported
 
Balances Without Adoption of ASC 606
 
Effect of Adoption Increase/(Decrease)
Assets
 
 
 
 
 
Accounts receivable, net
          $
245.4

 
          $
257.6

 
          $
(12.2
)
Prepaid expenses and other current assets
230.8

 
218.6

 
12.2