  We show that the characters of tilting modules can be used, in a concrete and
explicit way, to obtain the simple characters of a connected reductive
algebraic group $G$ over an algebraically closed field $\Bbbk$ of
characteristic $p$, for all $p$. Thus, once a formula for the characters of the
indecomposable tilting $G$-modules has been found, a formula for the simple
modules has been also. An immediate implication is that the work of Achar,
Makisumi, Riche, and Williamson in \cite{AMRW} provides a character formula for
simple $G$-modules when $p>h$, the Coxeter number of $G$.
