Relative to the parent
Width and height utilities are generated from the utility API in _utilities.scss. Includes support for 25%, 50%, 75%, 100%, and auto by default. Modify those values as you need to generate different utilities here.
 Width 25% 
 Width 50% 
 Width 75% 
 Width 100% 
 Width auto 
vue
<template>
 <b-div
  relative-width="25"
  padding="3"
 >
  Width 25%
 </b-div>
 <b-div
  relative-width="50"
  padding="3"
 >
  Width 50%
 </b-div>
 <b-div
  relative-width="75"
  padding="3"
 >
  Width 75%
 </b-div>
 <b-div
  relative-width="100"
  padding="3"
 >
  Width 100%
 </b-div>
 <b-div
  relative-width="auto"
  padding="3"
 >
  Width auto
 </b-div>
</template>
 Height 25% 
 Height 50% 
 Height 75% 
 Height 100% 
 Height auto 
vue
<template>
 <b-div style="height: 100px;">
  <b-div
   relative-height="25"
   display="inline-block"
   style="width: 120px;"
  >
   Height 25%
  </b-div>
  <b-div
   relative-height="50"
   display="inline-block"
   style="width: 120px;"
  >
   Height 50%
  </b-div>
  <b-div
   relative-height="75"
   display="inline-block"
   style="width: 120px;"
  >
   Height 75%
  </b-div>
  <b-div
   relative-height="100"
   display="inline-block"
   style="width: 120px;"
  >
   Height 100%
  </b-div>
  <b-div
   relative-height="auto"
   display="inline-block"
   style="width: 120px;"
  >
   Height auto
  </b-div>
 </b-div>
</template>
You can also use max-width: 100%; and max-height: 100%; utilities as needed.
vue
<template>
 <b-div flex>
  <b-img
   src="https://dummyimage.com/200x200/868e96/ffffff&text=Max%20width%20100%25"
   rounded
   float="start"
   alt="200x200"
   max-width
  />
 </b-div>
</template>
 Max-height 100% 
vue
<template>
 <b-div style="height: 100px">
  <b-div
   max-height
   style="
        width: 100px;
        height: 200px;
      "
  >
   Max-height 100%
  </b-div>
 </b-div>
</template>
Relative to the viewport
You can also use utilities to set the width and height relative to the viewport.
vue
<template>
 <b-div min-viewport-width>
  Min-width 100vw
 </b-div>
 <b-div min-viewport-height>
  Min-height 100vh
 </b-div>
 <b-div viewport-width>
  Width 100vw
 </b-div>
 <b-div viewport-height>
  Height 100vh
 </b-div>
</template>