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Understanding Percentages

What is a percentage? The word "percentage" comes from the Latin per centum, meaning "by the hundred." A percentage is simply a way of expressing a number as a fraction of 100. For example, 50% means 50 out of 100, or 50/100, which equals 0.5.

Percentages are used everywhere in daily life:

  • Shopping: "Get 25% off your purchase!"
  • Finance: "Interest rate of 3.5% APR"
  • Statistics: "75% of students passed the exam"
  • Nutrition: "Contains 15% of your daily vitamin C"
  • Weather: "40% chance of rain"
  • Business: "Sales increased by 12% this quarter"

Basic Percentage Formula

The fundamental percentage formula is:

Basic Formula
Percentage = (Part / Whole) × 100
Part = The portion you're measuring
Whole = The total or reference value

Quick Example

If you scored 42 points out of 50 on a test, what's your percentage score?

Solution:
Percentage = (42 / 50) × 100 = 0.84 × 100 = 84%
You scored 84%!

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