Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 31, 2021	Jan. 31, 2020	Jan. 31, 2019
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	$ (139.1)	$ (210.9)	$ (256.0)
Other comprehensive (loss) income before reclassifications	33.0	(7.8)
Pre-tax (gain) loss reclassified from accumulated other comprehensive income	(2.8)	(17.7)
Tax effects	4.2	0.2
Total other comprehensive income (loss)	34.4	(25.3)	(11.2)
Ending Balance	965.5	(139.1)	(210.9)
Net Unrealized Gains (Losses) on Derivative Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	8.4	15.0
Other comprehensive (loss) income before reclassifications	(33.1)	4.1
Pre-tax (gain) loss reclassified from accumulated other comprehensive income	(4.4)	(9.6)
Tax effects	5.0	(1.1)
Total other comprehensive income (loss)	(32.5)	(6.6)
Ending Balance	(24.1)	8.4	15.0
Net Unrealized Gains (Losses) on Available for Sale Securities
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	4.7	3.3
Other comprehensive (loss) income before reclassifications	1.5	1.8
Pre-tax (gain) loss reclassified from accumulated other comprehensive income	0.1	0.0
Tax effects	0.1	(0.4)
Total other comprehensive income (loss)	1.7	1.4
Ending Balance	6.4	4.7	3.3
Defined Benefit Pension Components
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	(22.8)	(16.3)
Other comprehensive (loss) income before reclassifications	0.3	0.0
Pre-tax (gain) loss reclassified from accumulated other comprehensive income	1.5	(8.1)
Tax effects	(0.3)	1.6
Total other comprehensive income (loss)	1.5	(6.5)
Ending Balance	(21.3)	(22.8)	(16.3)
Foreign Currency Translation Adjustments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	(150.6)	(137.0)
Other comprehensive (loss) income before reclassifications	64.3	(13.7)
Pre-tax (gain) loss reclassified from accumulated other comprehensive income	0.0	0.0
Tax effects	(0.6)	0.1
Total other comprehensive income (loss)	63.7	(13.6)
Ending Balance	(86.9)	(150.6)	(137.0)
Accumulated Other Comprehensive Loss
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	(160.3)	(135.0)	(123.8)
Ending Balance	$ (125.9)	$ (160.3)	$ (135.0)