Index Formula:
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Index calculation is a method used to express the relative change of a current value compared to a base value, typically presented as a percentage. It helps in comparing values over time or against a reference point.
The calculator uses the index formula:
Where:
Explanation: This formula calculates how much the current value represents compared to the base value, expressed as a percentage where 100% means the current value equals the base value.
Details: Index calculations are widely used in economics, finance, statistics, and performance measurement to track changes, compare data across different time periods, and normalize values for better comparison.
Tips: Enter both current value and base value as positive numbers. The calculator will compute the index percentage. Values above 100% indicate growth, while values below 100% indicate decline relative to the base.
Q1: What does an index of 125% mean?
A: An index of 125% means the current value is 25% higher than the base value, indicating growth or increase.
Q2: Can the base value be zero?
A: No, the base value cannot be zero as division by zero is mathematically undefined. Both values must be positive numbers.
Q3: How is index different from percentage change?
A: Index shows the relative position (Current/Base × 100), while percentage change shows the difference relative to base ((Current-Base)/Base × 100).
Q4: What are common applications of index calculation?
A: Stock market indices, inflation rates, consumer price index, performance benchmarks, and quality control metrics.
Q5: How should I interpret an index below 100%?
A: An index below 100% indicates the current value is less than the base value, representing a decrease or decline relative to the reference point.