Percentage Calculator
Results
Result will be shown here
Formula Used
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Result as Fraction
Explanation
How It Works
This calculator provides four main functions to solve various percentage problems. Select a tab for the type of calculation you need, enter the required values in the fields, and click "Calculate". The tool will instantly show you the result, the formula used, a step-by-step explanation, and a visual chart to help you understand the data.
Examples
- Percentage of Value: To find out what is 25% of 200, enter 25 in the first box and 200 in the second. The result is 50.
- Increase / Decrease: To calculate a 10% price increase on a $150 item, select "Increased by", enter 150 as the initial value and 10 as the percentage. The new price is $165.
- Percentage Difference: To find the percentage difference between sales of 500 units and 600 units, enter 500 and 600 into the fields. The result is an 18.18% difference.
- Reverse Percentage: If a shirt costs $40 after a 20% discount, find the original price by selecting "After a % Decrease", entering 40 as the final value and 20 as the percentage. The original price was $50.
Frequently Asked Questions (FAQ)
How do you calculate a percentage of a number?
To calculate a percentage of a number, convert the percentage to a decimal (by dividing by 100) and then multiply it by the number. For example, 20% of 150 is calculated as (20 / 100) * 150 = 0.20 * 150 = 30.
How do you increase a number by a percentage?
To increase a number by a percentage, multiply the number by (1 + percentage/100). For example, to increase 200 by 15%, you calculate 200 * (1 + 15/100) = 200 * 1.15 = 230.
How do you calculate percentage difference?
The percentage difference shows how different two numbers are relative to their average. The formula is: (|Value 1 - Value 2| / ((Value 1 + Value 2) / 2)) * 100. It's a way to compare two values without regard to which is the 'original' or 'new' value.
What is reverse percentage calculation?
Reverse percentage is used to find the original amount before a percentage change occurred. If an item is $90 after a 10% increase, you find the original price by calculating $90 / (1 + 10/100) = $90 / 1.1 = $81.82.
Can percentages be converted to fractions or decimals?
Yes. To convert a percentage to a decimal, divide by 100 (e.g., 50% = 0.5). To convert a percentage to a fraction, put the percentage over 100 and simplify (e.g., 50% = 50/100 = 1/2).
What is the easiest way to find percentage changes?
The simplest formula for percentage change (increase or decrease) is: ((New Value - Original Value) / Original Value) * 100. A positive result is an increase, and a negative result is a decrease.
