Using convertPoint to get the relative position inside a parent UIView

button.center is the center specified within the coordinate system of its superview, so I
assume that the following works:

CGPoint p = [button.superview convertPoint:button.center toView:self.view]

Or you compute the button’s center in its own coordinate system and use that:

CGPoint buttonCenter = CGPointMake(button.bounds.origin.x + button.bounds.size.width/2,
                                   button.bounds.origin.y + button.bounds.size.height/2);
CGPoint p = [button convertPoint:buttonCenter toView:self.view];

Swift 4+

let p = button.superview!.convert(button.center, to: self.view)

// or

let buttonCenter = CGPoint(x: button.bounds.midX, y: button.bounds.midY)
let p = button.convert(buttonCenter, to: self.view)