Help understanding Section 8 "payment standards"

[Sean Dezoysa]

Hi, I did a quick rent estimate of a 3bd property in zip code 44142 and found it rents for about $800/month: https://www.rentometer.com/ana...

But it seems every zip code in Cleveland, including this lower priced one, has a "payment standard" of around 1,300 or a little more for a 3bd property: https://www.cmha.net/hcvp/rent...

Obviously they wouldn't pay a $500/month premium for no reason. So I would like to ask how this translates to amount the landlord would actually receive? 

Thanks for any clarification