Vertical centring of several divs inside another

HTML

<div style="width:800px;" class="thebowl">
    
    <div class="thefloater">
        <div class="innerbox">
            <a href="#" class="services"><img src="http://s24.postimg.org/3t7bg1qgh/Scissors.png"/></a>
        </div>
    </div>
    
</div>

CSS

.thebowl {
  text-align: center;
  background: #eee;
  border: #a0a0a0 solid 1px;
  margin: 5px;
}
 
.thebowl:before {
  content: '';
  display: inline-block;
  height: 100%; 
  min-height: 800px;
  vertical-align: middle;  
 }

.thefloater {
  display: inline-block;
  vertical-align: middle;
  width: 30%;
  padding: 10px 15px;
  border: #a0a0a0 solid 1px;
    background-color: #ccc;
 }
.innerbox{
	position: relative;
	width: 100%;		/* desired width */
    display: block;
    padding-top: 100%;
}

a.services{
	position:  absolute;
	top: 0;
	left: 0;
	bottom: 0;
	right: 0;
    text-align:center;
        box-sizing:border-box;
        -moz-box-sizing:border-box;
        -webkit-box-sizing:border-box;
    border:20px solid #e5f2f7;
    border-radius:100%;
    text-align:center;
    display:inline-block;
}

a.services:hover{
    border:40px solid #7ed4f7;
}

a.services img{
margin:32% 0;
}

a.services:hover img{
margin:30% 0;
}