• Skip to primary navigation
  • Skip to main content
  • Skip to primary sidebar
SensorsONE

SensorsONE

  • Products
  • Search
  • Contact

Percentage Calculator

Select Answer Mode
Basic %
% Increase
% Decrease
Compound Values
Compound %
Calculate Percentages
Start Value [?]
Percentage (%) [?]
Number of Times (n) [?]
Percentage (%) [?]
% Value [?]
End Value [?]

Click save settings to reload page with unique web page address for bookmarking and sharing the current tool settings

✕ clear settings



Contents

Toggle
  • User Guide
    • Answer Modes
      • Basic Percent Value
      • Percentage Increase
      • Percentage Decrease
      • Compound Values
      • Compound Percentage
    • Formulas
      • Basic
      • % Increase
      • % Decrease
      • Compound Values
      • Compound Percentage
      • Symbols
    • Parameters
      • Start Value
      • Percentage (%)
      • Number Of Times (n)
      • % Value
      • End Value

User Guide

This tool will help you calculate percentage values using the various methods of changing a base value into a new one by a set percentage.

Answer Modes

Basic Percent Value

Use this method to calculate either of the parameters involved in determining the proportion of a value equivalent to a defined percentage. e.g. 15% of 270 is 40.5. You can choose to calculate the percentage value, original value or the percent number.

Percentage Increase

This method is used to calculate either of the parameters involved in adding the proportion of a value to the original value. e.g. 15% increase on 270 is 310.5. This method is often used to calculate how much tax or interest should be added to a value, or how much to markup a price. You can choose to determine the final value, proportional amount of increase, starting value, or percent increase.

Percentage Decrease

This method is used to calculate either of the parameters involved in subtracting the proportion of a value from the original value. e.g. 15% decrease on 270 is 229.5. This method is often used to calculate how much the price of an item is discounted, or in reverse it can be used to set a selling price based on a required % profit margin. You can choose to determine the final value, proportional amount of decrease, starting value, or the percent decrease.

Compound Values

This calculation type is used to calculate any of the parameters that are involved in increasing an initial value multiple times by a fixed percentage rate. This compounding technique is often used in calculating how much bank loan interest will be charged, or bank savings interest will be paid over a long period of time. e.g. a bank loan at 15% per annum, for a loan of £270, paid back after 3 years, would cost £140.64. You can choose to select the final total, the amount of compounded increase, initial value, percentage rate or the number of times it will take to compound.

Compound Percentage

This method calculates the total amount of percentage increase after you have applied a given percentage a certain number of times to the resulting incremented percentage each time.

Formulas

The formulas used by this percentage calculator to determine each individual parameter are as follows:

Basic

D = S · pc / 100
S = 100 · D / pc
pc = 100 · D / S

% Increase

E = S · (100 + pc) / 100
D = S · pc / 100
S = 100 · E / (100 + pc)
pc = (100 · E / S) – 100

% Decrease

E = S · (100 – pc) / 100
D = S · pc / 100
S = 100 · E / (100 – pc)
pc = 100 – (100 · E / S)

Compound Values

E = S · ((100 + pc)/100)ⁿ
D = S · ((100 + pc)/100)ⁿ – S
S = E / ((100 + pc)/100)ⁿ
n = ln(E / S) / ln((100 + pc) / 100)
pc = (E / S)1/n · 100) – 100

Compound Percentage

pcn = (((100 + pc) / 100)ⁿ · 100) – 100
n = ln((100 + pcn) / 100) / ln((100 + pc) / 100)
pc = ((100 + pcn) / 100)1/n · 100) – 100

Symbols

  • S = Start value
  • D = Difference between start and end value
  • E = End value
  • pc = percent value
  • pcn = compounded percent value
  • n = number of times to compound percentage increase

Parameters

Start Value

This is the original value you start with before applying any percentage calculation

Percentage (%)

This is the proportion of something as a percentage, and 1 percent is equivalent to a fraction of  1/100th or 0.01.

In the context of this calculator, the percentage is the proportion to find of a value, to apply an increase or a decrease in a value, the rate to compound, or the effective percentage increase due to the compounding of a percentage rate, n times.

Number Of Times (n)

This is the number of times to compound a percentage rate, or how many times to increase a value by a set percentage rate. e.g. 3% compounded 3 times means 1.03 x 1.03 x 1.03 = 1.0927.

% Value

This is the difference between the start and end value, which also represents the proportion of the start value that corresponds to the required percentage.

End Value

This is the final value you are left with after applying the percentage calculation.

Primary Sidebar

Tools

  • Unit Converters
  • Pressure
  • Liquid Level
  • Temperature & Heat
  • Electrical & Electromagnetic
  • Flow
  • Force, Load & Torque
  • Mass & Weight
  • Dimensions
  • Density
  • Time & Frequency
  • Speed & Acceleration
  • Energy & Power
  • Sensors & Instrumentation
  • Shapes
  • Movement & Motion
  • Travel & Transportation
  • Pricing & Quantities
  • Chemical Quantities
  • Health & Fitness

Tool Feedback

Please provide feedback on using this Percentage Calculator.

By clicking "OK" or continuing to use this website you are providing your consent to use cookies as described in our Privacy Policy

© 2025 SensorsONE Ltd, all rights reserved

  • Home
  • Products
  • Tools
  • Legal
  • Contact