Place button inside input - html

Question

I need to place a button, with an icon, an input so I tried the HTML:
(JSFiddle Example: https://jsfiddle.net/mdmoura/zup3b24e/12/):
<form>
<div class="wrapper">
<input type="text">
<button type="submit">
<i class="fa fa-search"></i>
</button>
</div>
</form>
With the following CSS:
form {
width: 400px;
}
.wrapper {
position: relative;
}
input {
font-size: 18px;
padding: 10px;
width: 100%;
}
button {
background-color: white;
border: none;
font-size: 24px;
position: absolute;
right: 0;
}
But this does not place the button inside the input.
How can this be done?

Answer 1

All you need to do is to add bottom: 8px; to the button so it is moved up by 8px, visually into the input box.
button {
background-color: white;
border: none;
font-size: 24px;
position: absolute;
right: 0;
bottom: 8px;
}
form {
width: 400px;
}
.wrapper {
position: relative;
}
input {
font-size: 18px;
padding: 10px;
width: 100%;
}
button {
background-color: white;
border: none;
font-size: 24px;
position: absolute;
right: 0;
bottom: 8px;
}
<link href="https://maxcdn.bootstrapcdn.com/font-awesome/4.7.0/css/font-awesome.min.css" rel="stylesheet"/>
<form>
<div class="wrapper">
<input type="text">
<button type="submit">
<i class="fa fa-search"></i>
</button>
</div>
</form>
Updated JSFiddle: https://jsfiddle.net/zup3b24e/14/

Answer 2

A simpler way to build an input form with font awesome inside if you want to go with this direction
input[type="text"] {
width: 400px;
height: 20px;
padding: 10px;
}
input[type="submit"] {
font-family: FontAwesome;
font-size: 24px;
margin-left: -50px;
background-color: white;
border: none;
-webkit-appearance: none;
}
<link href="https://stackpath.bootstrapcdn.com/font-awesome/4.7.0/css/font-awesome.min.css" rel="stylesheet"/>
<input type="text"><input type="submit" value="">