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Week over week calculator

Compare matching weekly observations and separate total change from compound average growth.

Calculator

A model year is 365.25 days; a month is one twelfth of that year.

Initial value
100.0000
Final value
121.0000
Total percentage change
21.0000%
Compound average growth per week
10.0000%
Number of weeks
2.0000
Absolute change
21.0000

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How this calculator works

The total percentage change compares the endpoints. Compound average growth is the constant per-week rate that links those endpoints. For a single week the two rates are equal. Match the reporting definition, seasonal coverage and currency in both observations. Positive starting values and non-negative ending values keep the growth interpretation consistent.

Formula

Total change = final/initial - 1. Compound average growth = (final/initial)^(1/n) - 1. Final = initial x (1 + growth)^n.

Worked example

A value increasing from 100 to 121 over two weeks rises 21% overall and averages 10% compound growth per week. Falling from 100 to 80 over one week is a 20% decrease.

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Frequently asked questions

What if the starting value is zero?

Percentage change has a zero denominator and is undefined; report the absolute change instead.

Does average growth reproduce each observation?

No. It links the endpoints with a constant rate and can hide large intermediate changes.

Can I enter a negative final value?

This compound-growth model accepts non-negative final values. Crossing zero requires a different interpretation.

Sources

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