In CSS, what is the difference between cascading and inheritance?

Inheritance is about how properties trickle down from an element to its children. Certain properties, like font-family inherit. If you set a font-family on the body, that font family will be inherited by all the elements within the body. The same is true for color, but it is not true for background or height which will always default to transparent and auto. In most cases this just makes sense. Why would the background inherit? That would be a pain. What if fonts didn't inherit? What would that even look like?

The cascade is about what take precedence when there is a conflict. The rules of the cascade include:

1. Later properties override earlier properties
2. More specific selectors override less specific selectors
3. Specified properties override inherited properties

And so on. The cascade solves any conflict situations. It is the order in which properties are applied.

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(update) Specificity is the calculation used to determine selector priority in the cascade. When two selectors apply to the same element, the one with higher specificity takes precedence.

1. Inline styles have a very high specificity (1000)
2. ID's have a specificity of 100
3. classes/attributes and pseudo-classes add 10
4. elements and pseudo-elements add 1

Add up all the parts in a selector chain to determine the total specificity. In case of a tie, the last selector takes precedence.

Of course, that comes with various edge-cases and caveats. One class will always override plain elements, no matter how many. More targeted selectors are given priority over inherited properties from parent selectors. And you can throw out all your calculations if someone used !important — that trumps everything.

To understand the difference between inheritance and cascading let's understand both of them with example.

Inheritance is a way of propagating property values from parent elements to their children, let's have a very simple example here.

.parent{
font-size:20px;
line-height:150%;
}
.child{
font-size:25px;
}

From the above example, we are going to determine what the line-height of the child element will be. We all know that every CSS property must have a value, even if neither we, the developer nor the browser do specify it. In that case, there's no cascaded value, right? So when processing a certain property for a certain element, such as line-height the first question that the CSS engine asks is if there is a cascaded value, if so then of course, that's the value that's used. Now if there's no cascaded value then the next question is if the property can be inherited, that depends on each property, there are some properties that are inherited and others are not. In the case of line-height, that property gets inherited as we can see from the property specification.

https://developer.mozilla.org/en-US/docs/Web/CSS/line-height

So if a property is inherited, then the value of that property becomes the computed value of its parent element. It's very important to note that the value that gets inherited is not simply 150%, but the computed value. In this case, that's 150% of 20 pixels, which is 30 pixels. So the line-height of the child element will also be 30 pixels, not 150% of the 25-pixel font size. Now if it's a property that's not inherited like for example, padding, then the specified value will become the initial value which is also specific to each property. In the case of padding that's just zero pixels.

Now Cascading is the process of combining different stylesheets and resolving conflicts between different CSS rules and declarations when more than one rule applies to a certain element. Because as you probably already know a declaration for a certain style property like font size can appear in several stylesheets and also several times inside one single stylesheet.

If you want to read in detail about cascading in CSS just read my other answer about cascading.

What is the meaning of "cascading' in CSS?