I'm glad that you are glad

Hello,
I'm wondering if someone could please help me translate a sentence into Spanish. I'd be ever so grateful!

I'd like to say "I am glad that you are glad".

Or if that sounds odd; "I'm happy to know that you are pleased" (with this), "I'm glad to know that you are happy" (about this) or something of similar effect.

Is it possible to say: "me alegra saber que eres feliz"?

¡Muchas gracias!

Me alegra que te alegre

I'm glad to see you Me da gusto verte

-I'm glad that you are glad -Me da gusto que te de gusto

Why? por que?

-Because no one likes me -porque a nadie le caigo bien

¡Muchas gracias!