The math

1% Better Every Day Chart: The Real Math

by Alexander Vaughn

The 1% better every day chart is mathematically correct: start at 1.00, multiply by 1.01 each day, and the model reaches 37.78 after 365 days. Multiply by 0.99 instead and it reaches about 0.026. The chart shows exponential compounding; it does not prove that a person, habit, skill, or life improves at a fixed daily rate.

Use the chart to understand repeated multiplication, not to grade yourself. If the thing you care about does not grow by a measurable, fixed percentage each day, the curve does not describe its real progress.

The 1% better chart

These values apply the formulas 1.01^days and 0.99^days to a starting value of 1.00. They model compound arithmetic, not measured human performance.

Day1% better each day1% lower each day
01.001.00
301.350.74
902.450.40
1806.000.16
36537.780.026
Read James Clear's original continuous-improvement explanation

How to read the chart

For day d, the upward column is 1.01 raised to d and the downward column is 0.99 raised to d. Each multiplication starts from the previous day's result. If your starting value is 100 instead of 1, multiply every value in the table by 100.

The value 37.78 is a multiplier, not a 37.78 percentage-point gain. The value 0.026 means 2.6% of the starting value remains in that mathematical model. The rounded rows let you check the curve without treating them as measured outcomes.

What the chart does not measure

The formula does not show that a person becomes 1% better every day. Skills, habits, health, relationships, and creative work do not share one unit or one fixed daily rate. Their results can rise, pause, fall, or change direction for reasons this chart cannot represent.

The 0.99 curve also does not prove that missing one daily action causes a compounding personal decline. It shows what repeated multiplication by 0.99 does to a number. Keep that mathematical boundary clear so the chart informs you without turning into a promise or a threat.

Use the model as a calculator

Use the formula when you have a starting value, a repeatable percentage change, and a number of periods. Change any one of those inputs and the result changes. The nearby 1% calculator can show other rates and time spans without pretending that the output predicts your life.

When you cannot define the unit or the rate, treat the chart as an illustration of compounding. Track the observable facts that matter to you instead of inventing a daily percentage.

Keep a record without inventing a score

One Percent turns the year into a 365-dot view. One Percent records a short daily highlight and lowlight. The app does not calculate whether you became 1% better.

One Percent shows daily notes and mood over time. One Percent provides iPhone widgets. You can review what you recorded without converting a mathematical curve into a judgment about the day.

The app behind the dots

One Percent.

One Percent turns the year into a 365-dot view. One Percent records a short daily highlight and lowlight. One Percent shows daily notes and mood over time. One Percent provides iPhone widgets.

One useful note

Keep the year in view.

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