Math · 7 min read

How to calculate percentage increase and decrease

Learn the correct denominator, interpret positive and negative change, and avoid common percentage mistakes.

This MayeleCalc guide explains the concept in plain language so you can use the related calculator with better context and confidence. Work through each section, review the practical example, and check the common mistakes before applying the result.

01

Start from the original value

Percentage change compares the difference with the starting value: (new − original) ÷ original × 100. The original is the denominator because it is the baseline.

02

The sign shows direction

A positive result indicates an increase and a negative result indicates a decrease. Reporting magnitude without direction can hide important context.

03

Reversing is not symmetrical

A 20% decrease followed by a 20% increase does not return to the starting value because the second percentage uses a smaller base. Returning from 80 to 100 requires 25%.

04

Distinguish percentage points

When a rate rises from 10% to 12%, the change is two percentage points but a 20% relative increase. State which measure you mean.

Practical example

See the idea in action

Write the known values and identify the denominator before using a percentage. For a $20 profit on a $70 sale, margin is 20 ÷ 70 × 100 = 28.57%, while markup is 20 ÷ 50 × 100 = 40%.

Common mistakes to avoid

  • ×Using the wrong value as the denominator
  • ×Mixing a percentage with a decimal rate
  • ×Rounding too early in a multi-step calculation

Key takeaways

  • Name each value before choosing the formula
  • Keep full precision until the final answer
  • Use a second method to check important results

Put the idea into practice

Open the calculator library, choose the relevant tool, and compare realistic scenarios using the method from this guide.

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