Another solution I ran across tonight, which worked for my needs, was to add box-sizing attributes:
-webkit-box-sizing: border-box;
-moz-box-sizing: border-box;
box-sizing: border-box;
These attributes force the border to be part of the box model's width and height and correct the issue as well.
According to caniuse.com ยป box-sizing, box-sizing is supported in IE8+.
If you're using LESS or Sass there is a Bootstrap mixin for this.
LESS:
.box-sizing(border-box);
Sass:
@include box-sizing(border-box);