Our comprehensive percentage calculator helps you solve all types of percentage problems. Calculate percentage of a number, find what percentage one number is of another, determine percentage difference between two values, and calculate percentage increase or decrease.
Enter any two values to calculate the third value automatically.
Calculate percentage increase or decrease between two values.
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. 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 35/100.
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 value of the ratio is therefore 0.5, and multiplying this by 100 yields:
In other words, the ratio of 25 males to students in the classroom is equivalent to 50% of students in the classroom being male.
Although the percentage formula can be written in different forms, it is essentially an algebraic equation involving three values:
Where:
Our calculator automatically converts the input percentage into a decimal to compute the solution. However, if solving for the percentage, the value returned will be the actual percentage, not its decimal representation.
If solving manually, the formula requires the percentage in decimal form, so the solution for P needs to be multiplied by 100 to convert it to a percent. This is essentially what our calculator does, except that it accepts inputs in percent rather than decimal form.
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. Multiplying the result by 100 yields the solution in percent.
Percentage increase and decrease are calculated by computing the difference between two values and comparing that difference to the initial value. Mathematically, this involves using the absolute value of the difference between two values then dividing the result by the initial value.
The percentage increase calculator computes an increase or decrease of a specific percentage of the input number. It involves converting a percent into its decimal equivalent, and either subtracting (decrease) or adding (increase) the decimal equivalent from and to 1, respectively.
If an item originally costs $80 and is on sale for 25% off:
If your restaurant bill is $45 and you want to leave a 15% tip:
If you answered 42 out of 50 questions correctly on a test:
If a stock price increases from $50 to $65: