Calculate percentages, percentage of a number, and percentage change
Finds what one number is as a percentage of another, computes a percentage of a given value, and calculates percent change between two values. Percentages are ratios expressed per 100.
Part = (Percentage / 100) × Whole | Percentage = (Part / Whole) × 100
Partthe portion of the wholeWholethe total being dividedPercentagethe ratio expressed per 100To find a percentage of a number, multiply the number by the percentage and divide by 100. For example, 25% of 200 is (200 × 25) / 100 = 50.
Divide the part by the whole and multiply by 100. For example, 30 out of 120 is (30 / 120) × 100 = 25%.
Percentage change = ((New Value minus Old Value) / Old Value) × 100. A positive result means an increase; a negative result means a decrease.
To find the original value before a percentage increase, divide the final value by (1 + percentage/100). For a 20% increase resulting in 120, the original is 120 / 1.20 = 100.