This online percentage calculator simplifies your calculations, like discounts, taxes, growth rates or any other percentage related task. It is also known as: discount calculator, tax calculator, calculate percentage, percentage calculation, percent calculator, online percentage calculator, percent increase calculator, percent decrease calculator, find percentage etc.
Percentage Calculator
How to Use the Percentage Calculator:
- Enter the Value: In the first input field, enter the original value or the total amount.
- Enter the Percentage: In the second input field, enter the percentage you want to calculate.
- Click Calculate: Simply click the “Calculate” button, and the result will be displayed instantly in the designated area.
Example Scenarios
- Calculating a Discount: If an item costs $100 and has a 20% discount, enter 100 in the “Value” field and 20 in the “Percentage” field. The calculator will show you the discount amount ($20).
- Calculating Tax: If you’re buying something for $50 and the tax rate is 8%, enter 50 in the “Value” field and 8 in the “Percentage” field. The calculator will show you the tax amount ($4).
- Calculating Percentage Increase: If a company’s revenue increased from $10,000 to $12,000, you can calculate the percentage increase. In this case, calculate the difference (12000-10000 = 2000). Enter 10000 in the “Value” field and then calculate the percentage increase (2000 is what percentage of 10000?). Enter 20 in the “Percentage” field. The calculator will show you the percentage increase (20%).
What Is a Percentage?
A percentage expresses a number as a fraction of 100. It is a simple way to compare values and show proportions. Percentages are written using the % symbol.
Examples:
- 35% = 0.35 = 35/100
- If 25 out of 50 students are male, the ratio is 25 ÷ 50 = 0.5 → 50%
How Percentages Work
To calculate a percentage, convert the ratio into a number and multiply by 100.
Example:
25 ÷ 50 = 0.5
0.5 × 100 = 50%
This means half the class is male.
Basic Percentage Formula
Percentages follow a simple relationship:
P × V₁ = V₂
Where:
- P = percentage (as a decimal)
- V₁ = original value
- V₂ = result
Example:
P × 30 = 1.5
P = 1.5 ÷ 30 = 0.05 = 5%
Percentage Difference
Percentage difference compares two values without assuming either is the starting point.
Formula:
|V₁ − V₂| ÷ [(V₁ + V₂) / 2] × 100
Example:
Values: 10 and 6
Difference = 4
Average = 8
Percentage difference = 50%
Percentage Change (Increase or Decrease)
Percentage change shows how much a value has increased or decreased relative to its original value.
Formula:
Change ÷ Original Value × 100
Examples:
- Increase 500 by 10%:
500 × (1 + 0.10) = 550 - Decrease 500 by 10%:
500 × (1 − 0.10) = 450
Conclusion
Percentages make numbers easier to understand, compare and communicate. For any type of measuring growth, change, or proportions, percentages are an essential math tool for everybody.
