
die Übereinstimmung
agreement
The state in which two or more people have the same opinion or view; a consensus.
Nach langer Diskussion erzielten die Parteien eine Übereinstimmung.
After a long discussion, the parties reached an agreement.
agreement / correspondence
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agreement
The state in which two or more people have the same opinion or view; a consensus.
Nach langer Diskussion erzielten die Parteien eine Übereinstimmung.
After a long discussion, the parties reached an agreement.

correspondence / match
The state in which two or more things, facts, or statements are identical or fit together.
Es besteht eine hohe Übereinstimmung zwischen den beiden Gutachten.
There is a high degree of correspondence between the two expert reports.

in accordance with
A formal expression meaning that something happens according to a rule, law, or requirement.
Die Entscheidung wurde in Übereinstimmung mit den geltenden Gesetzen getroffen.
The decision was made in accordance with the applicable laws.
The word is derived from the verb 'übereinstimmen' (to agree / correspond). This verb consists of 'über' and 'einstimmen' (to be in agreement as a unit). The ending '-ung' turns it into a feminine noun that describes a state or process.
Es ist das Ziel der Verhandlungen, eine Übereinstimmung zu finden.
The goal of the negotiations is to find an agreement.
The context makes clear which meaning is intended. If it is about people or groups reaching agreement, it means agreement of opinion. If it is about data, facts, or objects, it means factual correspondence.
Die Übereinstimmung im Team war die Basis für den Erfolg.
The agreement within the team was the basis for success.
When it is about an agreement between people, 'Übereinstimmung' (agreement) is often combined with verbs like 'erzielen' (to achieve), 'erreichen' (to reach), or 'finden' (to find).
Die Minister konnten in der wichtigen Frage keine Übereinstimmung erzielen.
The ministers could not reach an agreement on the important issue.
To express that things fit together, people often use the combinations 'eine hohe/große Übereinstimmung zeigen' (to show a high/strong correspondence) or 'es besteht eine Übereinstimmung zwischen...' (there is a correspondence between...).
Die Daten zeigen eine große Übereinstimmung mit unserer Hypothese.
The data show a strong correspondence with our hypothesis.
The expression 'in Übereinstimmung mit' (in accordance with) is a fixed unit and is always used with the dative. It is typical of formal or legal language.
Wir handeln stets in Übereinstimmung mit den Wünschen unserer Kunden.
We always act in accordance with the wishes of our customers.
approval / consent
Zustimmung and Übereinstimmung can refer to the same statement or proposal. Zustimmung is the act of approving or affirming something. Übereinstimmung, by contrast, describes several people already having the same opinion.

Zwischen der Abteilungsleiterin und ihrem Team bestand Übereinstimmung über den Vorschlag.
The department manager and her team agreed on the proposal.
Nach der Erklärung gab die Abteilungsleiterin ihre Zustimmung zu dem Vorschlag.
After the explanation, the department manager approved the proposal.