JSFiddle - React, Tailwind, and code Playground

HTML

<div id="outter-container">
    <div id="inner-container">
        <div id="centred">
            <p>I have a dynamic height!</p>
            <p>Sup!</p>
        </div>        
    </div>
</div>

CSS

/*
An outter container is needed because the table
won't cover the page width and height on it's own
*/
#outter-container
{
    position: absolute;
    top: 0px;
    right: 0px;
    bottom: 0px;
    left: 0px;
}

/*
The inner container is a table which is set to
cover the width and height of the page.
*/
#inner-container
{
    display: table;
    width: 100%;
    height: 100%;
}

/*
This table cell will cover 100% of the page width
and height, but everything placed inside it will
be placed in the absolute centre.
*/
#centred
{
    display: table-cell;
    vertical-align: middle;
    text-align: center;
}