  Faltings; Gabber and Ramero introduced almost mathematics. In another way,
almost mathematics can be characterized bilocalization abelian category of
modules mentioned in Quillen's unpublished note. Applying the concept of
Quillen's bilocalization to Gabber and Ramero's work, this paper establishes
the almost version of algebraic $K$-theory and cobordism. As a result of almost
$K$-theory, we prove that in the case an almost algebra containing a field, the
almost $K$-theory of the almost algebra is a direct factor of the $K$-theory of
the field, implying that almost $K$-theory holds the Gersten property. We
clarify that an almost $K$-theory is a $K$-theory spectrum of non-unital firm
algebras in the sense of Quillen. Furthermore, we obtain that almost algebraic
cobordism holds tilting equivalence on the category of zero-section stable
integral perfectoid algebras with finite syntomic topology.
