In MVP the view draws data from the presenter which draws and prepares/normalizes data from the model while in MVC the controller draws data from the model and set, by push in the view.
In MVP you can have a single view working with multiple types of presenters and a single presenter working with different multiple views.
MVP usually uses some sort of a binding framework, such as Microsoft WPF binding framework or various binding frameworks for HTML5 and Java.
In those frameworks, the UI/HTML5/XAML, is aware of what property of the presenter each UI element displays, so when you bind a view to a presenter, the view looks for the properties and knows how to draw data from them and how to set them when a value is changed in the UI by the user.
So, if for example, the model is a car, then the presenter is some sort of a car presenter, exposes the car properties (year, maker, seats, etc.) to the view. The view knows that the text field called 'car maker' needs to display the presenter Maker property.
You can then bind to the view many different types of presenter, all must have Maker property - it can be of a plane, train or what ever , the view doesn't care. The view draws data from the presenter - no matter which - as long as it implements an agreed interface.
This binding framework, if you strip it down, it's actually the controller :-)
And so, you can look on MVP as an evolution of MVC.
MVC is great, but the problem is that usually its controller per view. Controller A knows how to set fields of View A. If now, you want View A to display data of model B, you need Controller A to know model B, or you need Controller A to receive an object with an interface - which is like MVP only without the bindings, or you need to rewrite the UI set code in Controller B.
Conclusion - MVP and MVC are both decouple of UI patterns, but MVP usually uses a bindings framework which is MVC underneath. THUS MVP is at a higher architectural level than MVC and a wrapper pattern above of MVC.