I solved it using the
commerce_price_components module. Some details about it (from its project page):
Extension to Drupal commerce that provides a price formatter to enable/disable price components such as discounts or taxes when displaying prices. This gives the admin absolute control over which components should be displayed and which shouldn't.
It also provides two Views handlers to display/hide price components in cart totals and order totals.
Additionally it has basic rules support that gives to the commerce administrators the ability to do conditions using price components such as discounts or taxes and react accordingly.
It gave me a new data selector, i.e
site:current-cart-order:commerce-order-total:base-price:amount, which was exactly what I needed.