der Anteil
share / proportion
A part of a whole that belongs to a person or thing or is attributed to them.
Der Anteil der Frauen in Führungspositionen ist gestiegen.
The proportion of women in leadership positions has increased.

share / proportion
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share / proportion
A part of a whole that belongs to a person or thing or is attributed to them.
Der Anteil der Frauen in Führungspositionen ist gestiegen.
The proportion of women in leadership positions has increased.

The word 'Anteil' (share / proportion) can be easily understood from its components 'an' (at/on) and 'Teil' (part). It literally describes a part that is attached to or belongs to a larger whole.
Jeder Erbe erhielt seinen Anteil am Vermögen.
Each heir received their share of the fortune.
To name the whole of which something is a part, German uses the preposition 'an' followed by the dative. This structure is very common in statistics and reports.
Der Anteil der erneuerbaren Energien an der Stromerzeugung wächst.
The share of renewable energy in electricity generation is growing.
The expression 'Anteil nehmen' (to show sympathy) means to show compassion. It is always used with the preposition 'an' and the dative. The person showing sympathy is the subject of the sentence.
Viele Freunde und Nachbarn nahmen an ihrem Schicksal Anteil.
Many friends and neighbors showed sympathy for her fate.
In the context of business, finance, and companies, 'Anteil' (share) almost always means a share of stock or an ownership stake in a company. Typical verbs in this context are 'kaufen' (to buy), 'verkaufen' (to sell), or 'halten' (to hold).
Sie hat ihre Anteile an dem Technologie-Startup verkauft.
She sold her shares in the technology startup.
part
'der Teil' and 'der Anteil' both mean something from a whole. 'der Teil' is more general and can be a section, a piece, or an area. 'der Anteil' is more specific when it is about how much someone or something receives, has, or makes up of a whole. Often an Anteil can be measured, for example as a percentage or as an amount. The words can be confused because both refer to a whole. If you just mean a piece or a section, use 'Teil'; if it is about a distribution or a measurable value, use 'Anteil'.

Der Anteil der Miete an unseren Kosten ist sehr hoch.
The share of rent in our costs is very high.
Ein Teil des Gartens liegt den ganzen Tag in der Sonne.
Part of the garden is in the sun all day.