Your question has been answered by Lucia already, but you might also be interested in looking up the Erd\H{o}s--Wintner theorem. A special case (proved already by Schoenberg) is that for each $u \geq 0$, the set of $n$ with $\phi(n)/n \leq u$ has an asymptotic density $D(u)$; moreover, $D(u)$ is continuous and increasing on $[0,1]$.

There are also estimates available for the size of $D(u)$ when $u$ is near zero, and of $1-D(u)$ when $u$ is near $1$. For this, see Erd\H{o}s's paper "Some remarks about additive and multiplicative functions": http://www.renyi.hu/~p_erdos/1946-11.pdf

Your question has been answered by Lucia already, but you might also be interested in looking up the Erdős-Wintner theorem. A special case (proved already by Schoenberg) is that for each $u \geq 0$, the set of $n$ with $\phi(n)/n \leq u$ has an asymptotic density $D(u)$; moreover, $D(u)$ is continuous and increasing on $[0,1]$.

There are also estimates available for the size of $D(u)$ when $u$ is near zero, and of $1-D(u)$ when $u$ is near $1$. For this, see Erdős's paper "Some remarks about additive and multiplicative functions": http://www.renyi.hu/~p_erdos/1946-11.pdf