Question 1

What is the percentage calculator formula?

Accepted Answer

The core percentage formula is: Percentage = (Part / Whole) x 100. To find X% of Y: Result = (X / 100) x Y. Example: 15% of 80 = (15 / 100) x 80 = 12. For percentage change: % Change = ((New - Old) / Old) x 100. For percentage difference: % Difference = (|A - B| / ((A + B) / 2)) x 100.

Question 2

How do I calculate percentage increase?

Accepted Answer

Percentage increase formula: % Increase = ((New Value - Old Value) / Old Value) x 100. Example: price rises from $50 to $65. % Increase = ((65 - 50) / 50) x 100 = 30%. Use the '% Price Change' tab in the calculator above to get instant results.

Question 3

How do I calculate percentage decrease?

Accepted Answer

Percentage decrease formula: % Decrease = ((Old Value - New Value) / Old Value) x 100. Example: price drops from $80 to $60. % Decrease = ((80 - 60) / 80) x 100 = 25%. The result is always a positive number representing the magnitude of the reduction.

Question 4

What is the difference between percentage difference and percentage change?

Accepted Answer

Percentage change has a clear direction: it tracks a single value evolving over time from an old baseline to a new value (e.g. a price going from $50 to $65 = +30%). Percentage difference compares two values where neither is the definitive original - it uses their average as the denominator. Example: comparing 80 and 120 gives a percentage difference of |80-120| / ((80+120)/2) x 100 = 40%.

Question 5

How do I calculate X% of Y?

Accepted Answer

To calculate X percent of Y: multiply Y by X, then divide by 100. Formula: (X / 100) x Y = result. Examples: 20% of 150 = 30. 7.5% of 240 = 18. Use the 'X% of Y' tab in the calculator above for instant results.

Question 6

How do I find what percentage one number is of another?

Accepted Answer

To find what percentage X is of Y: divide X by Y, then multiply by 100. Formula: (X / Y) x 100 = %. Examples: 25 is what % of 200? (25 / 200) x 100 = 12.5%. 45 is what % of 180? (45 / 180) x 100 = 25%.