Persians steppes hordes moved very late to Iran(8th BC)bringing their very rude old Persian language(much more rude than dutsch or swedish)but of course they were numerically very inferior to thousand of years established semites,sumerians,elamites...
The original folks of iran(elamites who are very distantly linked to semites,gutians,kassites,hurrians,babylonians...)r efined this language and included a huge number of semitic(and other languages)loanwords and grammatical features so middle and modern persian are in fact the very mixed refined version of old persian spoken by semites and other folks of iran-mesopotamia that gave it a much more pleasant middle-eastern semite pronunciation.(even todays,the pronunciation of modern Persan is similar to the one of Iraqi,gulf and levantine dialects of Arabic)
The arriving Persians(or let's say the semite of Iran very naturally)adopted semitic Akkadian as their official language and Akkadian aphabet as their official alphabet(later moving to Semitic Aramean as official language and alphabet then to Semitic Arabic and Arabic alphabet).
In the modern Persian the word of bread is the Sumerian "nan".
Very interestingly,in the modern Persian coexist different semitic words derived of same semitic roots(for example akkadian GUNAH=sin,and same rooted arabic DJONHE=law enforcement)
Let's look at some "persian" cultural and religious items
A1/semite babylonians
persians
sumerian_symbology-ashurs-winged-disc
semitic god dhushara(which gave birth to persian zoroastra,a word hat has not any serious persian etmology except the ridiculous camel-buyer but in semitic it means the very meaningful master of the ground and probably was taken by the Greeks as Zeus)
semitic god shamsh(give birth to the iranian sun)