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Does the social security taxable wage cap also cap payouts?

I recently saw Bernie Sander's quote:

Right now, Trump pays the same amount of money into Social Security as someone who makes $118,500 a year. Time for a change.

Now this seems to be true. There is a cap on how much you pay into social security, and it seems to be $118,500. However, being a politician it looks to me like Bernie is intentionally ignoring the other side. As best as I can understand, your payout is based on your AIME, which is also capped at that same $118,500, so Trump's payout should also be equivalently small, exactly proportional to this cap.

Now trying my best to sidestep the politics of whether the rich should pay more, is it accurate to say that Trump will be paid by social security as though his actual income was $118,500, rather than his full income?

As best as I can tell, the answer is yes, but I can't find any documents which state this clearly enough. Wikipedia's AIME page seems to say it is capped in this way, but the one sentence talking about it has atrocious readability.