Math · Percentages

How to Calculate Percentage Increase
Formula + 10 Real Examples

Learn how to calculate percentage increase step by step. Formula: ((New−Old)÷Old)×100. With 10 real examples for salaries, prices and investment returns.

⚡ RESPUESTA RÁPIDA

Formula: Percentage Increase = ((New Value − Old Value) ÷ Old Value) × 100. Example: from $50 to $65 → ((65−50)÷50)×100 = 30% increase. Always divide by the ORIGINAL value.

Step-by-Step Method

Find the differenceNew Value − Old Value = the amount of increase. $65 − $50 = $15.
Divide by the original value$15 ÷ $50 = 0.30
Multiply by 1000.30 × 100 = 30% increase. If negative → it's a decrease.

10 Real Examples

Salary $14k→$16.1k
+15%
Price $80→$100
+25%
$200→$250
+25%
$1,000→$1,080
+8%
50→73 students
+46%
$8.50→$9.35
+10%
$45→$54
+20%
$500→$650
+30%
100→115
+15%
$3,000→$3,600
+20%

Common Mistakes

Percentage Increase vs Percentage Change

Percentage increase only applies when the new value is higher. For any direction (up or down), use percentage change. The formula is identical — the sign tells you which it is.

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