What is X% of Y?

Result
-
Visual Representation
0%

Percentage Increase

Result
-
Change Visualization
+50%

Percentage Decrease

Result
-
Change Visualization
-25%

What is a Percentage?

A percentage is a way of expressing a number as a fraction of 100. It's commonly used to compare proportions, calculate discounts, track growth, and analyze data in everyday life, business, and academics.

Key Formulas

X% of Y: (X ÷ 100) × Y

Increase: ((New - Old) ÷ Old) × 100

Decrease: ((Old - New) ÷ Old) × 100

Pro Tip:

When calculating percentage change, always use the original value as your denominator. A 50% increase followed by a 50% decrease doesn't return to the original value—math is tricky!

Quick Reference

Common Percentages

10%
Move decimal left 1 place
25%
Divide by 4
50%
Divide by 2 (half)
75%
3/4 of the value

Real-World Uses

Percentage calculations are essential for: calculating sales tax and discounts, understanding interest rates, analyzing business growth, interpreting statistics, grading systems, and making informed financial decisions in daily life.

Learn More About Percentage Calculations

Master percentage calculations with our step-by-step Percentage Calculator Guide — includes percentages, discounts, increases, decreases, and real-world examples! 📚

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