In 2009 my rent was $550 in Pittsburgh. I just looked and today the same unit is going for $980, a 78% increase. According to published inflation numbers that should be a 23.5% increase to $679 today. So at least from our two examples we can see the effect is not evenly distributed.

edit: incidentally, in 2009 the minimum wage was $7.25, and my rent would have been 47% of my gross income. Today the minimum wage is still $7.25 and if I had stayed at the same apartment at the same wage, my rent would be 84% of my gross income.