Depends on a number of factors: ride height (stock or lowered? If lowered, how low?), offset of the wheels, overall diameter of the tire...the three things I can think of at the moment.

Based on what little information I see at the moment, obviously expect a slightly larger diameter due to the sidewall being taller. Due to that, a 45-series aspect tire will fill more of the wheel well than a 40. If you have wheels that are less than +45mm offset, AND you're lowered, there's a chance you may experience rubbing on the inside lining of the wheel well.

In my case, however, I have 17" +40mm offset wheels on 215/40/17s (Kumho MX's), but I don't experience any rubbing. Part of it is due to being lowered, I now have more negative camber (esp. in the rear), plus, due to having fairly stiff suspension, I don't experience much body roll. But, what works for me doesn't always work for someone else.