I made an example resolving your problem.
You have to make a wrapper, float it, then position absolute your div and give to it 100% height.
HTML
<div class="container">
<div class="left">"Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum." </div>
<div class="right-wrapper">
<div class="right">"Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua." </div>
</div>
<div class="clear"> </div>
</div>
CSS:
.container {
width: 100%;
position:relative;
}
.left {
width: 50%;
background-color: rgba(0, 0, 255, 0.6);
float: left;
}
.right-wrapper {
width: 48%;
float: left;
}
.right {
height: 100%;
position: absolute;
}
Explanation: The .right div is absolutely positioned. That means that its width and height, and top and left positiones will be calculed based on the first parent div absolutely or relative positioned ONLY if width or height properties are explicitly declared in CSS; if they aren't explicty declared, those properties will be calculed based on the parent container (.right-wrapper).
So, the 100% height of the DIV will be calculed based on .container final height, and the final position of .right position will be calculed based on the parent container.