How this is calculated
The tool solves the future-value equation for the monthly deposit m:
goal = current × (1 + i)ⁿ + m × [ (1 + i)ⁿ − 1 ] / i — i is the monthly rate, n the number of months.
Your existing savings keep compounding on their own, so the further away the date, the more of the work interest does for you — and the smaller the monthly ask.
Notes
Assumes a steady APY, deposits at each month's end, and no withdrawals. Savings rates float, so revisit when your bank changes theirs. For goals more than ~10 years out, also glance at the compound interest tool with investment-level returns.