What is the word for implied comparison introduced with as or like?

The word for an implied comparison introduced with "as" or "like" is simile.

A simile is a figure of speech that compares two things using "as" or "like".

For example:

* "The clouds were like cotton candy." (This compares clouds to cotton candy)

* "He ran as fast as a cheetah." (This compares the person's running speed to a cheetah's)