Financial Instruments - Cost and Fair Value of Financial Instruments (Details) - USD ($) $ in Millions	Jan. 31, 2021	Jan. 31, 2020
Cash equivalents:
Cash equivalents, amortized cost	$ 1,772.2	$ 1,774.7
Short-term trading securities
Derivative contract assets, amortized cost	0.1	0.1
Derivative contract assets, gross unrealized gains	0.4	0.5
Derivative contract assets, gross unrealized losses	(0.3)	0.0
Derivative contract assets, fair value	0.2	0.6
Amortized cost	796.3	1,241.6
Gross unrealized gains	26.7	18.9
Gross unrealized losses	(18.2)	(6.1)
Fair value	804.8	1,254.4
Foreign currency contracts
Short-term trading securities
Derivative contract assets, amortized cost	0.4	1.0
Derivative contract assets, gross unrealized gains	9.8	9.2
Derivative contract assets, gross unrealized losses	(0.4)	(1.3)
Derivative contract assets, fair value	9.8	8.9
Derivative contract liabilities, amortized cost	0.0	0.0
Derivative contract liabilities, gross unrealized gains	0.0	0.0
Derivative contract liabilities, Gross unrealized losses	(17.5)	(4.7)
Derivative contract liabilities, fair value	(17.5)	(4.7)
Level 1
Short-term trading securities
Derivative contract assets, fair value	0.0	0.0
Fair value	771.9	1,205.8
Level 1 \| Foreign currency contracts
Short-term trading securities
Derivative contract assets, fair value	0.0	0.0
Derivative contract liabilities, fair value	0.0	0.0
Level 2
Short-term trading securities
Derivative contract assets, fair value	0.0	0.0
Fair value	32.7	48.0
Level 2 \| Foreign currency contracts
Short-term trading securities
Derivative contract assets, fair value	9.8	8.9
Derivative contract liabilities, fair value	(17.5)	(4.7)
Level 3
Short-term trading securities
Derivative contract assets, fair value	0.2	0.6
Fair value	0.2	0.6
Level 3 \| Foreign currency contracts
Short-term trading securities
Derivative contract assets, fair value		0.0
Derivative contract liabilities, fair value	0.0	0.0
Agency bonds
Cash equivalents:
Cash equivalents, amortized cost		6.0
Cash equivalents, fair value		6.0
Agency bonds \| Level 1
Cash equivalents:
Cash equivalents, fair value		0.0
Agency bonds \| Level 2
Cash equivalents:
Cash equivalents, fair value		6.0
Agency bonds \| Level 3
Cash equivalents:
Cash equivalents, fair value		0.0
Commercial paper
Cash equivalents:
Cash equivalents, amortized cost	36.0	36.8
Cash equivalents, fair value	36.0	36.8
Commercial paper \| Level 1
Cash equivalents:
Cash equivalents, fair value	0.0	0.0
Commercial paper \| Level 2
Cash equivalents:
Cash equivalents, fair value	36.0	36.8
Commercial paper \| Level 3
Cash equivalents:
Cash equivalents, fair value	0.0	0.0
Money market funds
Cash equivalents:
Cash equivalents, amortized cost	686.9	1,135.5
Cash equivalents, fair value	686.9	1,135.5
Money market funds \| Level 1
Cash equivalents:
Cash equivalents, fair value	686.9	1,135.5
Money market funds \| Level 2
Cash equivalents:
Cash equivalents, fair value	0.0	0.0
Money market funds \| Level 3
Cash equivalents:
Cash equivalents, fair value	0.0	0.0
Other
Cash equivalents:
Cash equivalents, amortized cost	4.4	2.3
Cash equivalents, fair value	4.4	2.3
Other \| Level 1
Cash equivalents:
Cash equivalents, fair value	4.0	1.3
Other \| Level 2
Cash equivalents:
Cash equivalents, fair value	0.4	1.0
Other \| Level 3
Cash equivalents:
Cash equivalents, fair value	0.0	0.0
Commercial paper and municipal bonds
Short-term available-for-sale
Amortized Cost	4.0
Short-term available-for-sale, gross unrealized gains
Short-term available-for-sale, gross unrealized losses	0.0
Short-term available-for-sale, fair value	4.0
Commercial paper and municipal bonds \| Level 1
Short-term available-for-sale
Short-term available-for-sale, fair value
Commercial paper and municipal bonds \| Level 2
Short-term available-for-sale
Short-term available-for-sale, fair value	4.0
Commercial paper and municipal bonds \| Level 3
Short-term available-for-sale
Short-term available-for-sale, fair value	0.0
Mutual funds
Short-term trading securities
Short-term trading securities, amortized cost	64.5	59.9
Short-term trading securities, gross unrealized gain	16.5	9.2
Short-term trading securities, gross unrealized losses	0.0	(0.1)
Short-term trading securities, fair value	81.0	69.0
Mutual funds \| Level 1
Short-term trading securities
Short-term trading securities, fair value	81.0	69.0
Mutual funds \| Level 2
Short-term trading securities
Short-term trading securities, fair value	0.0	0.0
Mutual funds \| Level 3
Short-term trading securities
Short-term trading securities, fair value	$ 0.0	$ 0.0

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