The gist

On a credit card, paying a bit more each month saves you a lot. Small payments mostly go to interest, so the debt barely moves. Example: on a $3,000 balance, paying $200 a month instead of $100 saves $866 in interest and gets you debt-free 27 months sooner. The table below shows it, and the spreadsheet check shows it for your own card.

Three words first

The table: paying off a $3,000 credit card balance

Everything in this table is about the same $3,000 owed on a credit card, at 22.15% a year (the average U.S. rate on credit cards that were charged interest, April to June 2026). No new spending, no fees, the same payment every month:

Pay each month (on the $3,000)Months until the $3,000 is goneInterest you pay on top of the $3,000
$7574 (just over 6 years)$2,498
$10045$1,412
$15026$779
$20018$545
$30012$347

Read it from the top: at $75 a month, you pay almost as much in interest as you borrowed. Doubling the payment from $100 to $200 saves $866 and gets you out 27 months sooner.

Why the first payments feel useless

Each month, the card first takes its interest on what you still owe. On $3,000 at 22.15% a year, that is about $55.38 in the first month (22.15% ÷ 12 months ≈ 1.85% a month).

So of a $100 payment, $55.38 goes to interest and only $44.62 actually lowers what you owe. As what you owe shrinks, the interest shrinks too, and more of each payment goes to the debt itself. This is compound interest (interest charged on a total that keeps changing) working against you instead of for you.

One more line worth knowing: if your payment is smaller than the monthly interest, what you owe never goes down. On $3,000 at this rate, that line is about $55 a month.

Work out your own number in 30 seconds

You don't need any maths. Open a free spreadsheet (Google Sheets, Excel or Numbers) and type this into any cell, with your own numbers:

=NPER(22.15%/12, -100, 3000)

It answers 44.1, which means 45 monthly payments, the last one smaller. Change the 100 to see how much faster a bigger payment gets you out.

Three things worth checking this week

  1. Your card's APR. It is printed on your statement, usually near the interest charges. Many cards charge more or less than the average, and it changes the whole table.
  2. The minimum payment box. U.S. card statements must show how long your current balance takes to pay off if you pay only the minimum, and the monthly payment that clears it in 3 years. Both assume you buy nothing new on the card.
  3. The interest line. Find how much interest you were charged last month. Compare it with your payment. That one comparison tells you how much of your money is actually lowering the debt.

Why nobody told you this

Most of us learned compound interest as a school exercise about savings, not as the reason a card balance can follow you for years. Reschooled's short video lessons explain how money, debt and interest really work, from the ground up, at reschooled.life.


Sources

Educational content, not financial advice.