Description of the Business, Basis of Presentation and Summary of Significant Accounting Policies - Prior Period Adjustment (Details) - USD ($) $ in Millions	12 Months Ended
	May 31, 2022	May 31, 2021	May 31, 2020
Error Corrections and Prior Period Adjustments Restatement [Line Items]
Cost of goods sold	$ 765.5	$ 628.7	$ 709.3
Selling, general and administrative expenses	$ 722.8	622.7	764.2
Prior Period Reclassification Adjustment		37.8	41.7
Previously Reported
Error Corrections and Prior Period Adjustments Restatement [Line Items]
Cost of goods sold		666.5	751.0
Selling, general and administrative expenses		584.9	722.5
Revision of Prior Period, Adjustment
Error Corrections and Prior Period Adjustments Restatement [Line Items]
Cost of goods sold		(37.8)	(41.7)
Selling, general and administrative expenses		$ 37.8	$ 41.7