Percentage Increase Calculator

Calculate the percentage increase from an original value to a new value. Enter both values below to find the percentage increase.

Calculate Percentage Increase

Percentage Increase Formula

Percentage Increase = ((New Value - Original Value) / Original Value) × 100

How It Works

  1. Find the difference: Subtract the original value from the new value
  2. Divide by original: Divide the difference by the original value
  3. Multiply by 100: Convert to a percentage

Examples

Example 1: Salary Increase

Problem: Your salary increased from $50,000 to $55,000. What is the percentage increase?

Solution:

  • Difference: $55,000 - $50,000 = $5,000
  • Divide: $5,000 / $50,000 = 0.10
  • Percentage: 0.10 × 100 = 10%

Example 2: Population Growth

Problem: A town's population grew from 8,000 to 10,000. Find the percentage increase.

Solution:

  • Difference: 10,000 - 8,000 = 2,000
  • Divide: 2,000 / 8,000 = 0.25
  • Percentage: 0.25 × 100 = 25%

Example 3: Price Increase

Problem: A product's price rose from $80 to $100. What's the percentage increase?

Solution:

  • Difference: $100 - $80 = $20
  • Divide: $20 / $80 = 0.25
  • Percentage: 0.25 × 100 = 25%

Example 4: Test Score Improvement

Problem: A student's test score improved from 72 to 90. Find the percentage increase.

Solution:

  • Difference: 90 - 72 = 18
  • Divide: 18 / 72 = 0.25
  • Percentage: 0.25 × 100 = 25%

Example 5: Investment Growth

Problem: An investment grew from $2,500 to $3,125. What is the percentage increase?

Solution:

  • Difference: $3,125 - $2,500 = $625
  • Divide: $625 / $2,500 = 0.25
  • Percentage: 0.25 × 100 = 25%

About Percentage Increase

Percentage increase measures how much a value has grown relative to its original amount. It's commonly used in finance, statistics, and everyday calculations to express growth in percentage terms.

When to Use Percentage Increase

  • Calculating salary or wage increases
  • Measuring business revenue growth
  • Tracking population changes
  • Analyzing investment returns
  • Comparing price changes over time

Important Notes

  • Percentage increase is always calculated relative to the original value
  • A 100% increase means the value has doubled
  • Percentage increase cannot be negative (if the new value is smaller, it's a decrease)
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