Percentage Calculator

Calculate percentages instantly. Find X% of Y, calculate percentage change, or solve any percentage problem with step-by-step explanations.

Formula:Percentage = (Part / Whole) × 100

Result

Result

50.00

Calculation25% of 200
25% of 200 equals 50.00

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What is
%
of
?

Step-by-Step Solution

Step 1: Convert percentage to decimal

25% = 25 / 100 = 0.2500

Step 2: Multiply by the base number

0.2500 × 200 = 50.00

Result: 25% of 200 = 50.00

Common Percentage Reference

10%

= 0.1 = 1/10

25%

= 0.25 = 1/4

33.3%

= 0.333 = 1/3

50%

= 0.5 = 1/2

66.7%

= 0.667 = 2/3

75%

= 0.75 = 3/4

100%

= 1.0 = whole

200%

= 2.0 = double

Result

Result

50.00

Calculation25% of 200
25% of 200 equals 50.00

?How to Calculate Percentages

To calculate a percentage of a number, multiply the number by the percentage and divide by 100. For example, 25% of 200 equals (25 x 200) / 100 = 50. To find what percentage one number is of another, divide the part by the whole and multiply by 100. For percentage change, use: ((New - Old) / Old) x 100.

What is a Percentage?

A percentage is a number expressed as a fraction of 100, represented by the symbol %. It indicates how many parts per hundred of a quantity. Percentages are used to express proportions, compare ratios, and calculate changes in values across finance, statistics, and everyday calculations.

Key Facts About Percentages

  • Percentage formula: Percentage = (Part / Whole) x 100
  • To find X% of Y: Result = (X x Y) / 100
  • Percentage change formula: ((New Value - Old Value) / Old Value) x 100
  • A positive percentage change indicates an increase; negative indicates a decrease
  • To convert a decimal to percentage, multiply by 100 (0.25 = 25%)
  • To convert a percentage to decimal, divide by 100 (25% = 0.25)
  • Common percentage equivalents: 50% = 1/2, 25% = 1/4, 10% = 1/10
  • Percentages over 100% represent values greater than the original amount

Quick Answer

To calculate a percentage of a number, multiply the number by the percentage and divide by 100. For example, 25% of 200 equals (25 x 200) / 100 = 50. To find what percentage one number is of another, divide the part by the whole and multiply by 100. For percentage change, use: ((New - Old) / Old) x 100.

Frequently Asked Questions

To find what percent X is of Y, divide X by Y and multiply by 100. The formula is: Percentage = (X / Y) × 100. For example, if you want to know what percent 25 is of 200, calculate (25 / 200) × 100 = 12.5%.
To find X percent of Y, multiply Y by X and divide by 100. The formula is: Result = (X × Y) / 100. For example, to find 15% of 200, calculate (15 × 200) / 100 = 30.
Percentage change = ((New Value - Old Value) / Old Value) × 100. A positive result indicates an increase, while a negative result indicates a decrease. For example, if a price goes from $50 to $60, the change is ((60-50)/50) × 100 = 20% increase.
Percentage represents a portion of 100 (e.g., 50% means 50 out of 100). Percentile indicates a position in a distribution - for example, the 90th percentile means you scored higher than 90% of the group. They serve different purposes in statistics.
To convert a decimal to a percentage, multiply by 100 and add the % symbol. For example, 0.25 becomes 25% (0.25 × 100 = 25). To convert a percentage to a decimal, divide by 100.

Last updated: 2025-01-15