The goal is to achieve exactly the same effect as creating a new email message in the the Mail app on iOS.
When clicking on the "Compose" button at the right bottom corner of the Mail app, the present view controller fades slightly in the background and a new view controller is loaded partially on top of it. The old view controller can be still perceived at the top of the screen. The Fantastical app does it as well when clicking on the "+" button at the top right corner.