Income Taxes - Tax Cuts and Jobs Act of 2017 (Details) - USD ($) $ in Millions	12 Months Ended
Jan. 31, 2020	Jan. 31, 2019	Jan. 31, 2018
Income Tax Disclosure [Abstract]
Tax cuts and jobs act of 2017, estimated net tax expense			$ 146.2
Tax cuts and jobs act of 2017, incomplete accounting, change in tax rate, provisional income tax expense (benefit)			94.8
Tax cuts and jobs act of 2017 transition tax			56.0
Tax cuts and jobs act of 2017 statutory rate change			$ 4.6
Statutory Federal income tax rate	21.00%	21.00%	33.80%
Tax cuts and jobs act of 2017, measurement period adjustment, change in tax rate, income tax expense (benefit)		$ (12.6)
Tax cuts and jobs act of 2017, measurement period adjustment, income tax expense (benefit)		$ (3.3)
Undistributed foreign earnings	$ 1,000.0

Estimated net tax expense recorded as a result of the effects of the Tax Cuts and Jobs Act of 2017.

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Tax Cuts and Jobs Act of 2017, Measurement Period Adjustment, Change In Tax Rate, Income Tax Expense (Benefit)

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Tax Cuts and Jobs Act of 2017, Measurement Period Adjustment, Transition Tax for Accumulated Foreign Earnings, Income Tax Expense (Benefit)

+ References

No definition available.

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A tax benefit resulting from the effect of the 21% statutory tax rate for the month of January 2018 on the Company’s annual statutory tax rate for the year ended January 31, 2018. Because the Company’s fiscal year ended on January 31, 2018, the Company’s statutory tax rate for fiscal 2017 is 33.8%, rather than 35.0%

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Estimated tax expense for the one-time transition tax effected via a mandatory deemed repatriation of post-1986 undistributed foreign earnings and profits ("Transition Tax")

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Percentage of domestic federal statutory tax rate applicable to pretax income (loss).

+ References

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Amount of reasonable estimate for income tax expense (benefit) for which accounting for tax effect for remeasurement of deferred tax from change in tax rate is incomplete pursuant to Tax Cuts and Jobs Act.

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Amount of undistributed earnings of foreign subsidiaries intended to be permanently reinvested outside the country of domicile.

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