matter of course / obviousness
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ease / naturalness
The quality of being so normal, obvious, or expected that it requires no explanation or justification.
Er erledigte seine Aufgaben mit einer beeindruckenden Selbstverständlichkeit.
He completed his tasks with impressive ease.
The word is made up of 'selbst' (self/by itself) and 'verständlich' (understandable). So it describes something that is understood by itself. The ending '-keit' turns the adjective 'selbstverständlich' (self-evident/natural) into a noun.
Pünktlichkeit bei Terminen sollte eine Selbstverständlichkeit sein.
Punctuality for appointments should be a matter of course.
The word is very often used in expressions such as 'etwas für eine Selbstverständlichkeit halten' (to take something for granted) or 'etwas als Selbstverständlichkeit ansehen' (to regard something as a matter of course). This expresses that you consider something normal and no longer value it especially highly.
Wir sollten unsere Gesundheit nicht für eine Selbstverständlichkeit halten.
We should not take our health for granted.
The word is very often negated ('keine Selbstverständlichkeit' (not a matter of course)) to emphasize that something is special, valuable, or not normal.
Dass wir in Frieden leben können, ist keine Selbstverständlichkeit.
The fact that we can live in peace is not something to be taken for granted.
self-evident / of course
'selbstverständlich' and 'die Selbstverständlichkeit' are closely related. Both have to do with something that is normal, clear, or expected. The most important difference is the part of speech. 'selbstverständlich' describes an action, situation, or statement: something is self-evident. 'die Selbstverständlichkeit' is a noun and means the quality of being taken for granted, or something that is regarded as normal. Learners may confuse them because their forms are similar and their meanings are close. A practical tip: after 'ist', the adjective 'selbstverständlich' can often be used. If you are talking about 'eine Sache' (a thing) or 'eine Haltung' (an attitude), 'die Selbstverständlichkeit' is usually a better fit.
Beim Termin war pünktliches Erscheinen für alle eine Selbstverständlichkeit.
At the appointment, arriving on time was a matter of course for everyone.
Meine Mutter hat mir selbstverständlich bei der Vorbereitung geholfen.
My mother of course helped me with the preparation.