Credit card debt feels stubborn because of one thing: interest compounds every month on whatever balance is left. The good news is that the math is simple to follow, and once you see it, the fastest way out becomes obvious.
How the payoff actually works
Each month your card charges interest on the current balance, then your payment is applied. The monthly interest rate is just the APR divided by 12:
Monthly interest = balance × (APR ÷ 12)
So a $5,000 balance at 22.9% APR racks up about $95 in interest the very first month. Whatever you pay above that $95 is the only part that reduces the balance. Repeat the cycle until it hits zero, and the number of cycles is your payoff time.
Why the minimum payment is a trap
If your payment is close to the monthly interest, almost nothing goes toward the balance — and if it's below the interest, the balance actually grows. That's why minimum-only payments can stretch a few thousand dollars into years of payments and hundreds or thousands in interest.
The lever that matters most is paying more than the minimum:
- Paying $250 a month instead of $150 on that $5,000 card can cut the payoff time roughly in half.
- Every extra dollar goes straight to principal, so it compounds in your favor.
How to use it
Put real numbers on your situation with the Credit Card Payoff Calculator. Enter your balance, APR, and monthly payment, and it shows how many months payoff takes, the date you'll be debt-free, and the total interest you'll pay. Nudge the payment up and watch both numbers shrink.
A few tips that work alongside the math:
- Stop new charges while you pay down — new purchases reset your progress.
- Target the highest APR first if you carry more than one card.
To compare a payoff plan against a fixed-term loan (some people consolidate), the Loan Calculator shows a structured monthly payment, and the Interest Calculator makes it clear how powerfully interest works — for you when saving, against you when borrowing.