Maths Learning

Percentage

Understanding and calculating percentages

Interactive Percentage Visualization

Introduction

A percentage is a way of expressing a number as a fraction of 100. The symbol "%" means "per cent" or "out of 100". Percentages are used extensively in everyday life, from discounts to statistics.

Key Concepts:
  • Percentage: A number expressed as a fraction of 100 (e.g., 50% = 50/100 = 0.5)
  • Conversion: Percentages can be converted to fractions and decimals
  • Finding Percentage: (Part / Total) × 100
  • Finding Value: (Percentage / 100) × Total
  • Percentage Change: ((New - Original) / Original) × 100

How to Use

  • Visual Representation: See percentages as circles, rectangles, or bar charts
  • Conversion: Convert between fractions, decimals, and percentages
  • Percentage Calculations: Find percentages, values, or totals using different formulas
  • Percentage Change: Calculate increases and decreases with visual comparisons
  • Adjust the sliders to see how changes affect the calculations and visualizations
  • Use the formulas section as a quick reference for percentage calculations

Percentage Information

Percentage: 75%

Fraction: 75/100 = 0.75

Decimal: 0.75

Visual Representation

Percentage Formulas

Find Percentage:

Percentage = (Part ÷ Total) × 100

Find Value:

Value = (Percentage ÷ 100) × Total

Find Total:

Total = (Part ÷ Percentage) × 100

Percentage Increase:

New = Original × (1 + %/100)

Percentage Decrease:

New = Original × (1 - %/100)

Percentage Change:

Change% = ((New - Original) ÷ Original) × 100

Lessons

Individual learning units

Lessons coming soon

Percentage | Maths Learning