# Precision on the Baire property

In Jech's Set Theory, p. 149, one can find the following statement:

''If $B$ denotes the σ-algebra of Borel sets, and if we denote by $C$ the $\sigma$-algebra of sets with the Baire property, and if $I$ is the $\sigma$-ideal of meager sets, we have $B/I = C/I$.''

Why is that? Is it simply because every Borel set has the Baire property?