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Summary of Significant Accounting Policies - (Tables)
 12 Months Ended
Jan. 31, 2020
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)
2020

2019

Land
          $
41.7

          $
41.8

Buildings
122.3

122.6

Leasehold and building improvements
1,489.9

1,378.1

Office equipment
300.1

286.0

Software
506.0

452.2

Furniture and fixtures
333.1

315.0

Machinery and equipment
208.2

197.8

Construction-in-progress
158.0

98.7

 
3,159.3

2,892.2

Accumulated depreciation and amortization
(2,060.5
)
(1,865.5
)
 
          $
1,098.8

          $
1,026.7
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:
 
January 31, 2020
January 31, 2019
(in millions)
Gross Carrying Amount
Accumulated Amortization
Gross Carrying
Amount
Accumulated Amortization
Product rights
$
48.9

$
(18.4
)
$
48.9

$
(16.0
)
Key money
32.2

(6.3
)
34.1

(6.0
)
Trademarks
2.5

(2.5
)
2.5

(2.5
)
 
$
83.6

$
(27.2
)
$
85.5

$
(24.5
)
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Goodwill oodwill, included in Other assets, net, consisted of the following by reportable segment:
(in millions)
Americas
Asia-Pacific
Japan
Europe
Other
Total
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

   Translation
(0.1
)
—

(0.1
)
—

(0.1
)
(0.3
)
January 31, 2020
$
12.0

$
0.3

$
0.9

$
1.1

$
24.1

$
38.4
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)
2020
 
2019
 
2018
Net sales*:
 
 
 
 
 
Jewelry collections
$
2,420.2

 
$
2,374.3

 
$
2,146.6

Engagement jewelry
1,139.5

 
1,157.4

 
1,111.9

Designer jewelry
514.1

 
544.5

 
551.2

All other
350.2

 
365.9

 
360.1

 
$
4,424.0

 
$
4,442.1

 
$
4,169.8

*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)
2020

2019

2018

Net earnings for basic and diluted EPS
$
541.1

$
586.4

$
370.1

Weighted-average shares for basic EPS
121.1

122.9

124.5

Incremental shares based upon the assumed exercise of stock options and unvested restricted stock units
0.5

0.6

0.6

Weighted-average shares for diluted EPS
121.6

123.5

125.1