Is email from appleid@id.apple.com legit?

I recently changed my apple id password and a bit after that i got an email from appleid@id.apple.com confirming that I made a change to my account at the time that I did. I'm asking if this is legitimate because I'm not familiar with this particular email address. The email also says if i did not make these changes myself to change my apple id password and provides a link to appleid.apple.com which takes me to the apple id page i always go to to access it. My email account says this sender is on my safe list and has the green shield symbol next to it so I am wondering if anyone else has gotten legit emails from this address. It does not ask for any verification or personal information. Thanks!

[Re-Titled by Moderator]