๐ Percent Change Calculator
Calculate the overall change (increase or decrease) between two values โ in percentage.
๐ก What Is Percent Change?
It tells you how much a value has changed over time, either up ๐ or down ๐, as a percentage of the original value.
๐ Percent Change Calculator
๐ Calculation Breakdown
Initial Value | Final Value | Difference | Percent Change | Change Type | Multiplier |
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๐งฎ Percent Change Formulas
Basic Formula
% Change = [(Final - Initial) รท |Initial|] ร 100
Example: Initial = 100, Final = 150
[(150 - 100) รท 100] ร 100 = 50% increase
Example: Initial = 100, Final = 75
[(75 - 100) รท 100] ร 100 = 25% decrease
Reverse Calculation
Initial Value = Final รท (1 + %Change/100)
For increases: Final = 150, Change = +50%
150 รท (1 + 50/100) = 100
For decreases: Final = 75, Change = -25%
75 รท (1 - 25/100) = 100
Multiplier Method
Final Value = Initial ร (1 + %Change/100)
For increases: Initial = 100, Change = +50%
100 ร (1.5) = 150
For decreases: Initial = 100, Change = -25%
100 ร (0.75) = 75
๐ก Common Percent Change Examples
Scenario | Initial | Final | Change | Type |
---|---|---|---|---|
Stock price | $50 | $65 | +30% | Increase |
Temperature | 80ยฐF | 68ยฐF | -15% | Decrease |
Population | 1,000 | 1,200 | +20% | Increase |
Test score | 80 points | 72 points | -10% | Decrease |
๐ก Percent Change Tips
- Positive result indicates an increase, negative indicates a decrease
- When initial value is negative, interpret results carefully
- For repeated changes, use multipliers (e.g., 10% increase then 10% decrease โ 0% change)
- Percent change is relative to the initial value (50 โ 75 is +50%, 100 โ 125 is +25%)
๐ง Formula
Percent Change =((New Value - Original Value) รท Original Value) ร 100
๐งฎ Example
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Original Value: 1,000
-
New Value: 850
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๐ Percent Change =
((850 - 1000) รท 1000) ร 100 = -15%
โ๏ธ So, the value decreased by 15%.
โ Best For:
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Comparing prices or sales
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Measuring business growth or loss
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Tracking score or performance changes
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Monitoring weight, expenses, or profits
๐ Why Use This Calculator?
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โก Fast and simple
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๐ฑ Works on all devices
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๐ง No math required
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๐ฏ Accurate and free
๐ Want to focus on increase or decrease only?
Try these:
๐ Percentage Increase Calculator
๐ Percentage Decrease Calculator