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The clearfix hack has been around for a long time now, and patches a problem that can happen with floating elements that are larger than their container.
Here’s an example of the problem:
.box {
padding: 1rem;
background: rgba(255, 105, 180, 0.1);
border: 3px dashed rgba(255, 105, 180, 0.1);
border-radius: 5px;
}
.box img {
float: left;
}
<div class="box">
<img class="sammy" src="https://www.digitalocean.com/community/tutorials/Sammy_punk.svg" width="200" height="128" alt="Sammy!">
Lorem ipsum dolor sit amet, consectetur adipiscing elit...
</div>

Lorem ipsum dolor sit amet, consectetur adipiscing elit…
Old clearfix hacks
The old fix was to set overflow: auto
on the container, so a class like this is often created and used on elements that contain floated elements:
.clearfix {
overflow: auto;
}
<div class="box clearfix">
<img class="sammy" src="https://www.digitalocean.com/community/tutorials/Sammy_punk.svg" width="200" height="128" alt="Sammy!">
Lorem ipsum dolor sit amet, consectetur adipiscing elit...
</div>
And now everything works as expected:

Lorem ipsum dolor sit amet, consectetur adipiscing elit…
display: flow-root Improvements
With display: flow-root on the container element, a new block formatting context is established for the element with flow layout formatting, and this fixes our overflowing issues much more elegantly.
.box {
display: flow-root;
padding: 1rem;
background: rgba(255, 213, 70, 0.1);
border-bottom: 2px solid rgba(236, 198, 48, 0.2);
}
<div class="box">
<img class="sammy" src="https://www.digitalocean.com/community/tutorials/Sammy_punk.svg" width="200" height="128" alt="Sammy!">
Lorem ipsum dolor sit amet, consectetur adipiscing elit...
</div>

Lorem ipsum dolor sit amet, consectetur adipiscing elit…
Browser Compatibility
As of 2020, 87% of browsers worldwide will properly handle flow-root, based on Can I Use data. Opera Mini and Internet Explorer 11 cannot handle display: flow-root;
, but in 2020 it makes up less than 1.5% of worldwide usage.