Answer
$99.99997 \%$ accurate.
Work Step by Step
Calculate the percentage deviation from 100 percent perfection.
$$\frac{8 s}{3.156 \times 10^{7}s} \times 100 \%=3 \times 10^{-5} \%$$
One could say the watch is $99.99997 \%$ accurate.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.