The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method.

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The amount of identifiable intangible assets recognized as of the acquisition date.

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Useful life of finite-lived intangible assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Goodwill and Intangible Assets (Narrative) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Apr. 30, 2023	Apr. 30, 2022	Apr. 30, 2023	Apr. 30, 2022
Finite-Lived Intangible Assets
Amortization expense	$ 2.9	$ 2.4	$ 8.0	$ 6.9
Isolere
Finite-Lived Intangible Assets
Finite lived intangible assets acquired in business combination	44.5		44.5
Isolere \| Technology
Finite-Lived Intangible Assets
Finite lived intangible assets acquired in business combination	41.7		$ 41.7
Finite lived intangible asset estimated useful life (in years)			20 years
Isolere \| Trademarks
Finite-Lived Intangible Assets
Finite lived intangible assets acquired in business combination	1.5		$ 1.5
Finite lived intangible asset estimated useful life (in years)			10 years
Isolere \| Non Compensation Agreement
Finite-Lived Intangible Assets
Finite lived intangible assets acquired in business combination	$ 1.3		$ 1.3
Finite lived intangible asset estimated useful life (in years)			3 years