How long until you hit the wall?

Runway isn't just a cash word. Anything finite โ€” disk, seats, database connections, warehouse space, a team's hours โ€” has a ceiling, and demand rarely stands still. The catchThe runway is how many periods until growing usage reaches the ceiling. Under compound growth it's ln(capacity รท usage) รท ln(1 + growth) โ€” far shorter than the flat (capacity โˆ’ usage) รท increment estimate, because each period's growth builds on the last. is that when demand compounds, the wall arrives far sooner than a flat back-of-envelope suggests.

We're usingofGB, and usage grows% per.
11months of runway

Using 420 of 1,000 GB (42%). At a flat pace it'd be 17 months โ€” compounding costs you 6 months.

42%capacity used now
580GB of headroom
โ€”hits capacity
FillingDemand compounds, so the curve steepens as it climbs โ€” the last stretch to the ceiling arrives fastest.
full ยท 11 months1,00080%500
now10 months20 months

The solid line is your demand; the faint dashed line is the same starting pace under the flat model, and the amber line is your 80% alert. Where demand meets the red ceiling is the day you're out of room โ€” and compounding bends the curve up to it sooner than the straight line.

ThresholdUsageReached in
50%500 GB
2.3months
80%800 GB
8.4months
90%900 GB
9.9months
95%950 GB
11months
100%the wall1,000 GB
11months

You cross 80% โ€” the usual "time to act" line โ€” and the wall is only 2.9 months later. Compounding bunches the thresholds at the end, so the warning buys you far less than it looks.

runway = ln(capacity รท usage) รท ln(1 + growth)