universal

Of or pertaining to the universe.

Common to all members of a group or class.

In Logic, the letter A is used as a symbol for the universal affirmative proposition in the general form "all x is y."

I had been planning every day through these years toward a universal car.

Common to all society; worldwide.

She achieved universal fame.

[John] Dryden's univerſal genius, his firmly eſtablished reputation, and the glory his memory muſt always reflect upon the nation that gave him birth, make us ardently wiſh for a more accurate life of him than any which has hitherto appeared: […]

Unlimited; vast; infinite.

Useful for many purposes; all-purpose.

universal wrench

A characteristic or property that particular things have in common.

When we examine common words, we find that, broadly speaking, proper names stand for particulars, while other substantives, adjectives, prepositions, and verbs stand for universals.

We might also distinguish those expressions which are used to refer to individuals or particulars from those which are used to refer to what philosophers have called universals: e.g., to distinguish such expressions as "Everest" and "this chair" from "the number three", "the color red" and "drunkenness".