Mathematics CalcyZone Calculator

Percentage Increase Calculator

Calculate the percentage growth or increase from an initial value to a final value.

Initial Value

Final Value

Calculation Solution

50.00% Increase

Absolute Increase: 50

Mathematical Formula

Percentage Increase = ((Final - Initial) / Initial) * 100

Overview & Explanation

Percentage increase measures the relative growth from an original value to a higher value expressed as a percentage.

How It Works

Subtract the initial value from the final value to find the absolute increase.
Divide the increase by the initial value.
Multiply by 100 to convert to a percentage.

Practical Applications

Calculating salary raises.
Measuring sales growth.
Tracking population increases.

The formula

Percentage increase = (new value − old value) ÷ old value × 100. If rent rises from ₹40,000 to ₹46,000, the increase is 6,000 ÷ 40,000 = 15%.

The base is always the original value. Using the new value instead gives 6,000 ÷ 46,000 ≈ 13%, which is wrong for an increase.

Reversing an increase

To find the original from the increased value, divide by (1 + rate): ₹46,000 ÷ 1.15 = ₹40,000. Subtracting 15% from ₹46,000 gives ₹39,100, which is wrong, because a 15% cut is taken from a larger base.

An increase followed by an equal percentage decrease does not return you to the start. A 20% rise from 100 gives 120, and a 20% fall from 120 gives 96.

Common uses

Salary hikes, price rises, population growth, exam score improvements and sales growth are all percentage increases. For growth spread over several years, the yearly increases compound; use CAGR to find the equivalent constant yearly rate. When the starting value is zero, a percentage increase cannot be calculated, so report the absolute change instead.