Percentage Calculator
Calculate percentages, increases, and decreases
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Result
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What is a Percentage?
A percentage is a way of expressing a number as a fraction of 100. It is represented by the % symbol. For example, 50% means 50 out of 100, or 0.5 as a decimal. Percentages are widely used in everyday life: discounts, interest, statistics, and many other applications.
Basic Formulas
1. Calculate percentage of a number:
X% de Y = (X/100) × Y
Example: 20% of 150 = (20/100) × 150 = 30
2. Calculate percentage increase:
القيمة الجديدة = القيمة الأصلية + (القيمة الأصلية × النسبة/100)
Example: Increase 100 by 15% = 100 + (100 × 15/100) = 115
3. Calculate percentage decrease:
القيمة الجديدة = القيمة الأصلية - (القيمة الأصلية × النسبة/100)
Example: Decrease 200 by 25% = 200 - (200 × 25/100) = 150
4. Find the percentage:
النسبة المئوية = (الجزء / الكل) × 100
Example: 30 out of 150 = (30/150) × 100 = 20%
Real-World Examples
Store Discounts
If a shirt costs $80 and there is a 20% discount, the price after discount = 80 - (80 × 20/100) = 80 - 16 = $64.
Bank Interest
If you deposit $1000 in a bank account with 5% annual interest, the annual interest = 1000 × 5/100 = $50.
Grades and Scores
If you scored 45 out of 50 on a test, the percentage = (45/50) × 100 = 90%.
Useful Tips
- To quickly calculate 10%, move the decimal point one place to the left
- To calculate 50%, divide the number by 2
- To calculate 25%, divide the number by 4
- When calculating discounts, subtract the percentage from 100% first to get the final price