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I agree with Chops advice..
Under %util, FICO looks at two factors, both of equal weight. These two,togehther, are 35% of FICO.
1. Overall % util of all revolving util
2. Utilizational of individual cards (each card, and percent of all cards showing monthy balances)
If you can get overall %util to 80%, and the same for each CC, then I see no reason for rental refusal based on current debt.
But, if you had prior delinquencies, this shows them that you, under circustanstances that they dont care about, that you have shown a history of not paying debt.
I know that will be tough, and many rental agents will accept less, but the worst thing you can have is a card tthat is over the limit, It tells them that you are willing to default on credit terms. That is hardly an incentive for them to extend faith in further payments to them.
Being over limit is a major FICO derog.
Get all cards under 100%, as a first step.