
über etwas hinausgehend
exceeding
Being or doing more than something; going beyond a certain framework, measure, or expectation.
Sein Engagement war weit über das normale Maß hinausgehend.
His commitment went far beyond the normal measure.
exceeding / going out
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exceeding
Being or doing more than something; going beyond a certain framework, measure, or expectation.
Sein Engagement war weit über das normale Maß hinausgehend.
His commitment went far beyond the normal measure.

going out
Describes the literal action of leaving a place or building.
Der aus der Tür hinausgehende Mann war der Täter.
The man going out through the door was the perpetrator.
'Hinausgehend' is the present participle of the separable verb 'hinausgehen' (to go out). It is made up of the direction 'hinaus' (out of a place) and the movement 'gehen' (to go).
Der aus dem Haus hinausgehende Gast vergaß seinen Schirm.
The guest going out of the house forgot his umbrella.
In the figurative meaning, 'hinausgehend' (exceeding/going beyond) is almost always used with the preposition 'über' and an accusative object. The structure is: 'über etwas (Akk.) hinausgehend' (going beyond something).
Ihre Hilfe war weit über das normale Maß hinausgehend.
Her help went far beyond the normal measure.
The preposition 'über' almost always signals the figurative meaning ('more than'). If this preposition is missing, the literal meaning ('leaving a place') is usually meant.
Sein Interesse an dem Thema ist über eine reine Neugier hinausgehend.
His interest in the topic goes beyond mere curiosity.
starting from / outgoing
Ausgehend refers here to something sent outward, such as mail or calls. Hinausgehend, by contrast, describes a person who actually leaves a place. Ausgehend is therefore appropriate for messages being sent, while hinausgehend describes movement out of a building.

Die hinausgehenden Besucher warten neben der Tür auf ihre Freunde.
The visitors heading out are waiting by the door for their friends.
Die ausgehende Post liegt neben der Tür und wird gleich abgeholt.
The outgoing mail is next to the door and will be picked up shortly.