52 Now the education of youth is precisely one of those matters that belong both to the Church and to the State, "though in different ways," as explained above. Therefore, continues Leo XIII, between the two powers there must reign a well-ordered harmony. Not without reason may this mutual agreement be compared to the union of body and soul in man. Its nature and extent can only be determined by considering, as we have said, the nature of each of the two powers, and in particular the excellence and nobility of the respective ends. To one is committed directly and specifically the charge of what is helpful in worldly matters; while the other is to concern itself with the things that pertain to heaven and eternity. Everything therefore in human affairs that is in any way sacred, or has reference to the salvation of souls and the worship of God, whether by its nature or by its end, is subject to the jurisdiction and discipline of the Church. Whatever else is comprised in the civil and political order, rightly comes under the authority of the State; for Christ commanded us to give to Caesar the things that are Caesar's, and to God the things that are God's.
Source: Divini Illius Magistri (Vatican.va)