Nobody is saying everything you accomplished is solely because you're white. Privilege means it helps to be white. Whites generally are afforded more opportunities to succeed and don't have to worry about how their actions will reflect on their race or if they're being treated unfairly because of race, and up until the past 20 or so years, a lot of it was systematic. There's a reason for affirmative action, equal opportunity/housing acts, etc.
Examples of privilege are everywhere and span from race to class to gender.
Many are so minute it's hard to notice. ("He's so well spoken,"; "He's such a good student for a black kid."; white people can usually shop without being watched or followed; U.S. history is taught from a white perspective; Whites are generally never in situations where they're the only member of their race in a large group such as a classroom setting; White people aren't first identified by their race in every conversation; White males haven't constantly been portrayed as big, dumb, scary, criminals on TV and in movies, but rather as successful, rich, and powerful.)
I base my opinion on things I've seen in my personal life, and through my education and work history.
We can agree to disagree. And don't think I was trying to belittle your accomplishments in life. You did those things on your own accord.
