How to style a div to be a responsive square?

Works on almost all browsers.

You can try giving padding-bottom as a percentage.

<div style="height:0;width:20%;padding-bottom:20%;background-color:red">
<div>
Content goes here
</div>
</div>

The outer div is making a square and inner div contains the content. This solution worked for me many times.

Here's a jsfiddle

To achieve what you are looking for you can use the viewport-percentage length vw.

Here is a quick example I made on jsfiddle.

HTML:

<div class="square">
    <h1>This is a Square</h1>
</div>

CSS:

.square {
    background: #000;
    width: 50vw;
    height: 50vw;
}
.square h1 {
    color: #fff;
}

I am sure there are many other ways to do this but this way seemed the best to me.

HTML

<div class='square-box'>
    <div class='square-content'>
        <h3>test</h3>
    </div>
</div>

CSS

.square-box{
    position: relative;
    width: 50%;
    overflow: hidden;
    background: #4679BD;
}
.square-box:before{
    content: "";
    display: block;
    padding-top: 100%;
}
.square-content{
    position:  absolute;
    top: 0;
    left: 0;
    bottom: 0;
    right: 0;
    color: white;
    text-align: center;
}

http://jsfiddle.net/38Tnx/1425/