For me, it means having enough money to have choices in your daily life. Not being tied to working flat out if you'd rather be doing other things. Being comfortable at home with enough space for everyone, and able to, say, sort out emergencies like broken fridge or car trouble without worrying.
And, not endless swanning around, but definitely being able to take the odd holiday and choose where you want to go. Also of course good health, but if and when problems occur, not panicking about losing your home or being unable to meet commitments, just being able to focus on treatment and wellbeing.
I have a great deal to be grateful for and I'm managing, but am not remotely wealthy. I dream of more choice and flexibility in life and (as I'm self employed and not earning massively), not fearing the financial terror that would go with any health issues/family problems that necessitated changes.
Life feels very precarious financially. Despite doing all the sensible stuff (no holidays or eating out, secondhand clothes, old cars etc), it's manageable only while we are healthy enough to keep going. I see myself as luckier than many, but certainly not wealthy.