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Income Taxes - Unrecognized Tax Benefits Reconciliation (Details) - USD ($) $ in Millions | 12 Months Ended
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Jan. 31, 2022 | Jan. 31, 2021 | Jan. 31, 2020
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward] |  |  |
Gross unrecognized tax benefits at the beginning of the fiscal year | $ 198.0 | $ 220.6 | $ 209.0
Increases for tax positions of prior years | 9.0 | 12.7 | 2.8
Decreases for tax positions of prior years | (6.6) | (41.1) | (0.4)
Increases for tax positions related to the current year | 6.7 | 6.4 | 11.1
Decreases relating to settlements with taxing authorities | 0.0 | 0.0 | 0.0
Reductions as a result of lapse of the statute of limitations | (0.4) | (0.6) | (1.9)
Gross unrecognized tax benefits at the end of the fiscal year | $ 206.7 | $ 198.0 | $ 220.6

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- Definition Amount of unrecognized tax benefits. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 45 -Paragraph 10B -URI http://asc.fasb.org/extlink&oid=123427490&loc=SL37586934-109318 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15A -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=121826272&loc=SL6600010-109319 + Details
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- Definition Amount of decrease in unrecognized tax benefits resulting from tax positions taken in prior period tax returns. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15A -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=121826272&loc=SL6600010-109319 + Details
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- Definition Amount of decrease in unrecognized tax benefits resulting from settlements with taxing authorities. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15A -Subparagraph (a)(3) -URI http://asc.fasb.org/extlink&oid=121826272&loc=SL6600010-109319 + Details
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