The Facebook part is right. The Twitter part really depends on what "go to" means. They may not scroll back far enough to see your last post, and thus may not see the post at all, but I believe it's shown in the feed of 100% of your followers. I'd be interested to know otherwise. My own reach through Twitter is about half as good as it is on FB, and I have followers who seem way more interested in what I do than my FB fans. On FB, I seem to have way more success posting things personally than I do on my business page.
Edit: I post my stuff to Google+ too, especially groups that seem like there's some interest in the subject of my post. I'm happy enough with the results (from my analytics) that I'll keep doing it.
Edit: I post my stuff to Google+ too, especially groups that seem like there's some interest in the subject of my post. I'm happy enough with the results (from my analytics) that I'll keep doing it.