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Retirement Benefit Plans - Additional Information (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Jan. 31, 2018 | Jan. 31, 2017 | Jan. 31, 2016
Retirement Benefits [Abstract] |  |  |
Funded percentage | 77.00% |  |
Accumulated benefit obligation | $ 139.5 | $ 128.2 |
Actual plan asset allocations | 44.00% | 43.00% |
Estimated future employer contributions in next fiscal year | $ 4.7 |  |
Expected long-term rate of return on plan assets | 3.30% | 4.30% | 3.80%
Domestic Plan |  |  |
Defined Contribution Plan Disclosure [Line Items] |  |  |
Maximum annual contributions per employee | 75.00% |  |
Cost Recognized | $ 17.3 | $ 16.4 | $ 17.3
Foreign Plan |  |  |
Defined Contribution Plan Disclosure [Line Items] |  |  |
Contributions paid by employer | $ 27.2 | $ 26.6 | $ 23.0

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- Definition Amount of actuarial present value of benefits attributed to employee service rendered, excluding assumptions about future compensation level. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (e) -URI http://asc.fasb.org/extlink&oid=82843861&loc=d3e1928-114920 + Details
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- Definition Weighted average rate of return on plan assets, reflecting average rate of earnings expected on existing plan assets and expected contributions, used to determine net periodic benefit cost of defined benefit plan. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (k)(3) -URI http://asc.fasb.org/extlink&oid=82843861&loc=d3e1928-114920 + Details
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- Definition Amount of contributions expected to be received by defined benefit plan from employer in next fiscal year following latest fiscal year. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (g) -URI http://asc.fasb.org/extlink&oid=82843861&loc=d3e1928-114920 + Details
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- Definition Percentage of fair value of investments (categorized by debt securities, equity securities, real estate and other plan assets) to the fair value of plan assets held. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 5 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=82843861&loc=d3e2446-114920 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (d)(1) -URI http://asc.fasb.org/extlink&oid=82843861&loc=d3e1928-114920 + Details
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