Percentage Calculator
Calculate percentages, differences, and changes with comprehensive tools
Percentage Calculator
Please provide any two values below and click the "Calculate" button to get the third value. This calculator also includes percentage difference, percentage change, and common percentage calculations.
š§® Basic Percentage Calculator
š Result
Tip: Leave one field empty to calculate it. For example, enter 25 and 200 to find that 25% of 200 = 50.
š¬ Percentage Calculator in Common Phrases
š Percentage Difference Calculator
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š Percentage Change Calculator
Please provide any two values below and click the "Calculate" button to get the third value.
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š Understanding Percentages
What is a percentage?
In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is one of the ways to represent a dimensionless relationship between two numbers; other methods include ratios, fractions, and decimals.
Percentage Formula
The basic percentage formula can be written as P Ć Vā = Vā, where P is the percentage, Vā is the first value, and Vā is the result of the percentage operating on Vā.
Percentage Difference
The percentage difference between two values is calculated by dividing the absolute value of the difference between two numbers by the average of those two numbers, then multiplying by 100.
Detailed Explanation
Percentages are often denoted by the symbol "%" written after the number. They can also be denoted by writing "percent" or "pct" after the number. For example, 35% is equivalent to the decimal 0.35, or the fraction 7/20.
Percentages are computed by multiplying the value of a ratio by 100. For example, if 25 out of 50 students in a classroom are male, the ratio is 25/50. The value of the ratio is therefore 0.5, and multiplying this by 100 yields 50%. In other words, the ratio of 25 males to students in the classroom is equivalent to 50% of students in the classroom being male.
Percentage Change Formula
Percentage increase and decrease are calculated by computing the difference between two values and comparing that difference to the initial value. The percentage increase calculator computes an increase or decrease of a specific percentage of the input number.
Examples:
500 increased by 10% (0.1) = 500 Ć (1 + 0.1) = 550
500 decreased by 10% = 500 Ć (1 ā 0.1) = 450