A positive fraction whose numerator is less than its denominator is called a proper fraction.
For any denominator, $d$, there will be $d-1$ proper fractions; for example, with $d=12$:
$1/12,2/12,3/12,4/12,5/12,6/12,7/12,8/12,9/12,10/12,11/12$.

We shall call a fraction that cannot be cancelled down a resilient fraction.
Furthermore we shall define the resilience of a denominator, $R(d)$, to be the ratio of its proper fractions that are resilient; for example, $R(12)=4/11$.
In fact, $d=12$ is the smallest denominator having a resilience $R(d)<4/10$.

Find the smallest denominator $d$, having a resilience $R(d)<15499/94744$.