Percentage Calculator
Comprehensive collection of percentage calculations for conversions, growth, decay and more
Basic Percentage Calculations
Percent Value
Calculate the value of a percentage
Percent to Total
Find total value from percentage
Percentage of Percentage
Calculate percentage of another percentage
Percentage Difference
Compare two values as percentage difference
Percentage Change
Conversions
Decimal to Percent
Convert decimal number to percentage
Percent to Decimal
Convert percentage to decimal number
Fraction to Percent
Convert fraction to percentage
Percent to Fraction
Convert percentage to fraction
Ratio to Percent
Convert ratio to percentage
Percent to Ratio
Convert percentage to ratio
Exponential Growth
Exponential Growth (e^x)
Calculate exponential growth over time
Doubling Time
Time required for value to double at given growth rate
Exponential Decay
Exponential Decay (e^-x)
Calculate exponential decay over time
Half Life
Time required for value to reduce to half at given decay rate
About Percentages
Percentages are a fundamental concept in mathematics and everyday life. They are used for:
- Finance - Interest rates and discounts
- Business - Profit margins and growth
- Science - Concentration and ratios
- Statistics - Population and trends
- Everyday Life - Discounts and taxes
- Medicine - Dosages and dilutions
Fundamental Percentage Concepts
Basic Formula
Percentage = (Part/Whole) × 100
Part = Percentage × Whole / 100
Part = Percentage × Whole / 100
Percentage Change
% Change = (New - Old) / Old × 100
Growth: Positive, Decline: Negative
Growth: Positive, Decline: Negative
Conversions
% to Decimal: ÷ 100
Decimal to %: × 100
Decimal to %: × 100
Exponential
Growth: A = P(1 + r)^t
Decay: A = P(1 - r)^t
Decay: A = P(1 - r)^t
Tip: Always verify that you're calculating the percentage correctly by checking which value is the base (whole). Common mistakes often occur when the base changes.
Practical Application Examples
Finance & Banking
- Interest: Annual percentage rate (APR)
- Loan: Monthly payment calculations
- Investment: Return on investment (ROI)
Retail & Sales
- Discount: Sale price reduction
- Markup: Profit on products
- Commission: Sales percentage
Science & Medicine
- Concentration: Solution strength
- Dilution: Reduce concentration
- Dosage: Medication percentage
Statistics & Population
- Growth: Population increase
- Decay: Radioactive half-life
- Change: Year-over-year trends
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Quick Reference
% = (P/W)×100
Basic
Δ% = (N-O)/O
Change
P(1+r)^t
Growth
P(1-r)^t
Decay
% ÷ 100 = Decimal
Conversion
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