In fact, this is the essence of what Rosh Hashonoh is all about: “Malchiyos kidei shetamlichuni Aleichem”. We want the Eibishter to renew our existence (and that of the whole world; - the entire seder hishtalshelus), so we declare and renew our commitment to be subservient to Him, to accept upon ourselves the yoke of His Kingship, so that there should be a reason and purpose – a justification – for our continued existence. We indicate our readiness to continue doing our job – which is to enable Him to do His job – so that we can get a shot at being rehired.
And this is what begins from Rosh Chodesh Elul, when the King is in the field and we have to greet Him, and greeting Him (kabbolas pnei hamelech) represents kabolas ol malchus shomayim; - renewing our commitment to be subservient to Him. This, then, is a time for us to refocus on and reexamine our perspective; the Eibishter is not here, as a King, in order to provide us with our needs; rather, our existence, and all of the needs that He provides us with, are all in order to enable us to allow Him to experience His Kingship.