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Percentage Calculator

Calculate percentages, increase and decrease.

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Parameters

Calculation Results

total Value

112

interest Amount

12

invested Amount

100

Calculator Guide & Math

1Detailed Guide to Percentage Calculations & Ratios

A percentage represents a fraction of 100 (from Latin "per centum", meaning "by the hundred"). Calculating percentages is a core mathematical requirement for financial budgeting, discount analysis, growth tracking, and statistics. Percentages convert arbitrary proportions into a standardized base-100 scale, making them easy to compare.

Formula & Math Explanation

Percentage Portion = (Part / Whole) x 100
  • •Part = the specific portion or value you are examining
  • •Whole = the total amount or base value
  • •Percentage = the ratio expressed as a number out of 100
  • •Percentage Change = [(New Value - Old Value) / Old Value] x 100

2Step-by-Step Percentage Example

You want to find what is 15% of a bill of ₹2,500, or calculate the percentage growth of a stock that goes from ₹150 to ₹210.

  1. For value of: Multiply the bill by the decimal equivalent: 2,500 x (15 / 100) = 2,500 x 0.15 = ₹375.
  2. For percentage growth: Find the absolute change: 210 - 150 = ₹60.
  3. Divide the change by the original value: 60 / 150 = 0.40.
  4. Multiply by 100 to get percentage: 0.40 x 100 = 40% growth.
Result Summary: 15% of ₹2,500 is ₹375. The stock value increased by exactly 40%.

Percentage Calculations FAQ

Percentage change is used when there is a clear "before" and "after" value, showing how much the value grew or shrank. Percentage difference is used when comparing two values of equal status, calculated by dividing the absolute difference by the average of the two numbers.