Percentage Calculator
Percentages are a fundamental part of everyday math, from calculating a tip to understanding financial reports. This tool helps you solve three common percentage problems quickly and accurately.
How Percentage Calculations Work
Percentages are one of the most common ways to express numbers in everyday life. A percentage simply means "per hundred" and is written with the % symbol. Our Percentage Calculator makes it easy to find percentages, calculate percentage increases and decreases, and convert between fractions, decimals, and percentages. Whether you are a student, teacher, or professional, understanding percentages is essential for finance, discounts, statistics, exams, and business reports.
The basic formula for percentage is:
Percentage (%) = (Part / Whole) × 100
Below are the most common percentage calculations you can perform:
- Find a Percentage of a Number: To find X% of Y, use
(X ÷ 100) × Y. Example: 20% of 150 =(20 ÷ 100) × 150 = 30. - Percentage Increase:
((New Value - Old Value) ÷ Old Value) × 100. Example: Increase from 50 to 75 =((75 - 50) ÷ 50) × 100 = 50%. - Percentage Decrease:
((Old Value - New Value) ÷ Old Value) × 100. Example: Decrease from 200 to 150 =((200 - 150) ÷ 200) × 100 = 25%. - Convert Fraction to Percentage: Divide the numerator by the denominator and multiply by 100.
Example: 3/4 =
(3 ÷ 4) × 100 = 75%. - Convert Decimal to Percentage: Multiply the decimal by 100.
Example: 0.45 =
0.45 × 100 = 45%.
These formulas form the foundation of percentage math. With this online percentage calculator, you can quickly solve problems related to discounts, interest rates, taxes, exam scores, salary raises, and statistics. Instead of calculating manually, just enter your numbers and let the tool provide accurate results instantly. This makes it perfect for both quick everyday use and more complex academic or financial work.