die Herkunft
origin
The social, geographical, or family origin of a person.
Er ist stolz auf seine italienische Herkunft.
He is proud of his Italian origin.

origin
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origin
The social, geographical, or family origin of a person.
Er ist stolz auf seine italienische Herkunft.
He is proud of his Italian origin.

'Herkunft' (origin) is made up of 'her' (indicating a direction) and 'Kunft' (an old form derived from 'kommen' (to come)). So it literally means 'where something comes from' or the origin.
Die Herkunft des Namens ist nicht eindeutig geklärt.
The origin of the name has not been clearly established.
The noun 'Herkunft' (origin) answers the question 'Woher?' (from where?). It is almost always used with the preposition 'von' (+ dative) or a genitive to name the origin.
Die genaue Herkunft von diesem alten Möbelstück ist unbekannt.
The exact origin of this old piece of furniture is unknown.
When referring to a person’s origin, 'Herkunft' (origin) is often combined with adjectives such as 'sozial' (social), 'familiär' (family-related), 'geografisch' (geographical), or nationalities, e.g. 'türkische Herkunft' (Turkish origin).
Seine soziale Herkunft hat seinen beruflichen Weg nicht beeinflusst.
His social origin did not influence his career path.
In connection with goods or food products, people often speak of the 'Herkunftsland' (country of origin) or the 'Herkunftsnachweis' (proof of origin). These terms are important in trade and for consumers.
Der Wein hat eine geschützte Herkunftsbezeichnung.
The wine has a protected designation of origin.
background
'Hintergrund' and 'Herkunft' can both say something about a person. 'Herkunft' mainly means where someone comes from, for example which country, region, or family. 'Hintergrund' is broader: it can include origin, education, work experience, and social experiences. The words can be confused because both ask about a person's history. If it is only about origin, 'Herkunft' is more precise. If several personal experiences are important, 'Hintergrund' fits better.

Im Kurs sprechen die Teilnehmer über ihre Herkunft und ihre Sprachen.
In the course, the participants talk about their origin and their languages.
Für die Bewerbung ist ihr beruflicher Hintergrund besonders wichtig.
Her professional background is especially important for the application.