Percentage Calculator
Easily solve common percentage problems with our all-in-one calculator. Whether you're calculating a discount, determining a tip, or analyzing growth statistics, this tool handles it all.
Calculation Modes
- Percentage of a Number: Find the value of a percentage (e.g., What is 20% of 100?).
- Percentage Part: Find what percent one number is of another (e.g., 50 is what % of 200?).
- Percentage Change: Calculate the increase or decrease between two values.
How to Calculate Percentages
A percentage is simply a ratio expressed as a fraction of 100. "Percent" literally means "per 100".
X% of Y = Y × (X/100)X is ?% of Y = (X/Y) × 100
Percentage Calculator
Multiple percentage calculations
What is X% of Y?
X is what % of Y?
% Change from X to Y
📐 Formulas
X% of Y = Y × (X/100)
X is ?% of Y =
(X/Y) × 100
% Change = (New-Old)/Old × 100
Mastering Percentages
Calculating Percentage Change
One of the most useful percentage calculations is finding the increase or decrease between two numbers (e.g., "Sales went from $100 to $150").
- Formula:
((New Value - Old Value) / Old Value) × 100 - Example: Increase from 100 to 125.
- Calculation: (125 - 100) = 25. 25 / 100 = 0.25. 0.25 × 100 = 25% Increase.
Use Cases
- Finance: Calculating taxes, discounts (15% off), or tips (20% gratuity).
- Health: Calculating body fat percentage or weight loss percentage.
- Business: Measuring growth rates, profit margins, or conversion rates.
Frequently Asked Questions
To calculate a percentage of a specific number, you need to convert the percentage into a decimal format or a fraction. First, divide the percentage value by 100 (e.g., 20% becomes 0.20). Then, multiply this decimal by the number in question. For example, to find 20% of 500, you would calculate 500 multiplied by 0.20, which equals 100. This method works for any percentage, whether it is a tax rate, a discount, or a portion of a whole.
To determine what percentage one number (the part) represents of another number (the whole), you perform a simple division followed by multiplication. First, divide the "part" by the "total" (Part ÷ Total). This gives you a decimal. Then, multiply that result by 100 to convert it into a percentage. For example, to find out what percentage 50 is of 200, you divide 50 by 200 to get 0.25. Multiplying 0.25 by 100 gives you 25%. This establishes the proportional relationship between the two values.
Calculating the percentage change involves finding the difference between two values
relative to the starting value. First, subtract the old value from the new value (New
Value - Old Value). Then, divide this difference by the *Old Value* (not the new one).
Finally, multiply by 100. The formula is: ((New - Old) / Old) * 100. If the
result is positive, it represents a percentage increase. If the result is negative, it
indicates a percentage decrease. This is crucial for tracking growth or decline over
time.
Sources & References
- MathsIsFun: Percentage - Simple guide to learning percentages.
- Calculator.net: % Calculator - Detailed explanations of percentage formulas.