Percentage Calculator

Percentage Calculator

Easily calculate percentages by providing any two values below and clicking the “Calculate” button to find the third value.

Standard Percentage Calculator

What is
[Number1] of [Number2] = [Result]

Common Percentage Questions

• What is X% of Y?

• X is what % of Y?

• X is Y% of what?

Percentage Difference Calculator

Quickly find the percentage difference between two numbers.

• Value 1: [Input Field]

• Value 2: [Input Field]

Percentage Change Calculator

Find the percentage increase or decrease between two numbers.

Provide any two values to calculate the third.

• Original Value

• Increase / Decrease %

• Final Value

Example:

• Increase: Original Value × (1 + Percentage)

• Decrease: Original Value × (1 - Percentage)

What is a Percentage?

A percentage is a mathematical way to express a number as a fraction of 100. It is commonly used to describe proportions, comparisons, and relationships between numbers. The percent symbol (%) represents “per hundred.” For example:

• 35% is equal to 0.35 in decimal form.

• 35% is the same as saying 35 per 100.

Example:

If 25 out of 50 students are male:

• 25 ÷ 50 = 0.5

• 0.5 × 100 = 50%
  Thus, 50% of the students are male.

Percentage Formula

The percentage formula relates three key values:

P × V1 = V2

Where:

• P = Percentage (as a decimal during calculation)

• V1 = First value (the base number)

• V2 = Result after applying the percentage

Example:

What is 5% of 30?
P × 30 = 1.5
P = 1.5 ÷ 30 = 0.05
0.05 × 100 = 5%

Note: When calculating manually, percentages must be converted into decimals. The calculator does this automatically.

Percentage Difference Formula

The percentage difference measures the relative difference between two values.

Formula:
Percentage Difference =
|V1 – V2| ÷ ((V1 + V2) ÷ 2) × 100

Example:

|10 – 6| ÷ (10 + 6)/2 = 4 ÷ 8 = 0.5
0.5 × 100 = 50%

Percentage Change Formula (Increase or Decrease)

Percentage change shows how much a value increases or decreases relative to its starting point.

Formula:
|New Value – Original Value| ÷ Original Value × 100

Example:

Increase:
500 increased by 10% → 500 × (1 + 0.1) = 550

Decrease:
500 decreased by 10% → 500 × (1 – 0.1) = 450
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