This fits the bill perfectly, and ChessBase is incredibly reliable:
You will have to create a free account, and there are features that are premium, but for winning percentages, it has that for free. I am logged into this with a free account and you can see the percentages in the screenshot.
Here is what it looks like with my paid account (just the right portion of the screen changed, so I only took a screenshot of that).
Chessgames.com also has what you are looking for in terms of percentages here, but with much fewer games: https://www.chessgames.com/perl/explorer