Percentage Increase Calculator
Calculate the percentage increase or decrease between two values instantly with clear step-by-step working. This tool is useful for exam practice, salary changes, prices, enrollments, sales performance, and general percent-change questions.
Input Values
Quick Examples
Results
Enter values to see results
How to Calculate Percentage Increase
Calculating percentage increase shows the relative change between an original value and a new value.
- Find the difference: subtract the original value from the new value.
- Divide by the original: take the difference and divide it by the original value.
- Convert to a percentage: multiply the result by 100.
Percentage Increase Formula
The standard formula is:
Where the old value is the original starting point and the new value is the final value.
Worked Examples
Example 1: Salary Increase
A teacher's salary increases from AED 8,000 to AED 9,200. What is the percentage increase?
Worked Steps
Step 1: Change = 9,200 − 8,000 = 1,200
Step 2: Rate = 1,200 ÷ 8,000 = 0.15
Step 3: Percentage = 0.15 × 100 = 15%
Example 2: Student Enrollment
A school had 450 students last year and now has 540 students.
Step 1: Change = 540 − 450 = 90
Step 2: Rate = 90 ÷ 450 = 0.2
Step 3: Percentage = 0.2 × 100 = 20%
Example 3: Price Decrease
A laptop price drops from AED 3,500 to AED 2,800.
Step 1: Change = 2,800 − 3,500 = −700
Step 2: Rate = −700 ÷ 3,500 = −0.2
Step 3: Percentage = −0.2 × 100 = −20%, which is a 20% decrease
Common Mistakes to Avoid
- Dividing by the new value instead of the old value
- Forgetting to multiply by 100
- Confusing percentage points with percentage change
- Trying to calculate percentage increase when the original value is zero
- Rounding too early in a multi-step solution