```python
import math

def explode_kit(catalog: dict, kit: str, want: int)    """Total the base parts an order of a kit consumes."""
    if kit not in catalog:
        raise ValueError(f"the catalog does not define {kit}")
    
    def get_total_parts(kit_name):
        if kit_name not in catalog:
            raise ValueError(f"the catalog does not define {kit_name}")
        
        recipe = catalog[kit_name]
        total_parts = 0
        
        for component, count in recipe['parts']:
            if component in catalog:
                # If the component is a kit, recursively calculate its total parts
                total_parts += get_total_parts(component) * count
            else:
                # If the component is a base part, add its count
                total_parts += count
        
        return total_parts
    
    totals = {}
    for component, count in catalog[kit]['parts']:
        if component in catalog:
            # If the component is a kit, recursively calculate its total parts
            total_parts = get_total_parts(component) * want
        else:
            # If the component is a base part, add its count
            total_parts = count * want
        
        totals[component] = total_parts
    
    return totals
```