Percentage Calculator

Work out a percent change between two numbers, or what X% of Y is and what percent Y is of X. Handy for discounts, tips, and tax.

Smart Tips

• Remember that percentage increase and decrease are calculated from different bases

• Use the percentage change calculator to track growth rates and performance metrics

• Convert percentages to decimals by dividing by 100 for mathematical calculations

• Percentage points differ from percentages - 10% to 15% is a 5 percentage point increase but a 50% increase

Formulas

Type	Formula
Percentage of Number	Result = (Percentage × Number) ÷ 100
Percentage Increase	New Value = Original × (1 + %/100)
Percentage Decrease	New Value = Original × (1 - %/100)

Key Insights

Real-World Applications

Use percentage calculations for shopping discounts, business markups, restaurant tips, sales tax, salary raises, investment returns, and price comparisons. Essential for financial planning and everyday math.

Instant Results

Get immediate percentage calculations for percentage of numbers, percentage increases, and percentage decreases. No manual math required - perfect for quick decision making.

Multiple Calculation Types

Switch between three calculation modes: find percentage of a number, calculate percentage increase, or determine percentage decrease. One tool handles all your percentage calculation needs.

Precision & Accuracy

Supports decimal percentages (12.5%, 0.5%) for precise calculations in finance, science, and engineering. Results use the three formulas in the table on this page.

Frequently Asked Questions

Multiply the number by the percentage and divide by 100. For example, 25% of 200 = (25 × 200) ÷ 100 = 50.

Percentage increase adds to the original value, while percentage decrease subtracts from it. Increase: New = Original × (1 + %/100), Decrease: New = Original × (1 - %/100).

Yes, you can enter decimal percentages like 12.5% or 0.5%. The calculator supports any decimal value.

Use the percentage decrease option. Enter the discount percentage and original price to get the sale price.

Divide the numerator by the denominator, then multiply by 100. For example, 3/4 = 0.75 × 100 = 75%. You can also use our fraction calculator for precise conversions.

To calculate percentage change between two numbers, subtract the original value from the new value, divide by the original value, then multiply by 100. If the result is positive, it's a percentage increase. If negative, it's a percentage decrease. For example, if a price goes from $100 to $120, the percentage change is ((120-100)/100) × 100 = 20% increase.

Yes! To find the original number when you know the percentage and result, use the percentage of number calculation in reverse. For example, if 25% of a number equals 50, divide 50 by 25 and multiply by 100 to get 200 as the original number. This is useful for finding original prices after discounts or determining starting values.

Our percentage calculator provides mathematically precise results using standard percentage formulas. For financial planning, budgeting, investment returns, loan interest, and tax calculations, the results are accurate to multiple decimal places. However, always verify calculations for critical financial decisions and consult with financial professionals for complex scenarios.

Our percentage calculations follow standard mathematical principles and percentage calculation formulas used in academic, financial, and scientific applications. The formulas are based on fundamental percentage mathematics: percentage of number = (percentage × number) ÷ 100, percentage increase = original × (1 + %/100), and percentage decrease = original × (1 - %/100). Source: Wolfram MathWorld percentage: https://mathworld.wolfram.com/Percentage.html.

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Percentage

Enter values to calculate

Percentage

Original Number

Percentage Value

Percent as Decimal

Note:Percentage calculations are based on standard mathematical formulas. Results are precise for the given inputs. Always verify calculations for critical use.