• Skip to primary navigation
  • Skip to main content
  • Skip to footer
Matemática Básica
  • Elementary School
  • High School
  • Financial Math
  • Math Exercises
Home ❯ Financial Math

Percentage Increase Calculator

Use the 3 percentage increase calculators below: find the percentage change between two values (with automatic increase or decrease detection), calculate the final value after an increase, or find the original value before an increase was applied.

Percentage Increase Calculator

Calculation 1 — Increase or decrease between two values

Initial value
Final value
Increase or decrease?
Increase
%


Difference
Final value − Initial value
% increase = 100 × (final − initial) ÷ |initial|

Calculation 2 — Final value after a percentage increase

Initial value with an increase of %. Final value =

final value = initial value × (1 + % ÷ 100)

Calculation 3 — Original value before a percentage increase

Final value after an increase of %. Original value =

original value = final value ÷ (1 + % ÷ 100)

How to use the percentage increase calculator

  • Calculation 1: Enter the initial and final values. The calculator automatically detects whether there was an increase or decrease, and shows the percentage and the absolute difference.
  • Calculation 2: Enter the initial value and the percentage increase to get the final value.
  • Calculation 3: Know the final value and the percentage increase that was applied? Find the original value.

Formulas

Calculation Formula
% increase % = 100 × (Vf − Vi) ÷ |Vi|
Final value Vf = Vi × (1 + % ÷ 100)
Original value Vi = Vf ÷ (1 + % ÷ 100)

Frequently asked questions

How do you calculate the percentage increase between two values?

Use: % = 100 × (final − initial) ÷ |initial|

Example: from 12 to 23: % = 100 × (23 − 12) ÷ 12 = 100 × 11 ÷ 12 = 91.67%

Are percentage increase and percentage change the same thing?

Yes, the formula is identical: ((final − initial) / initial) × 100. The difference is only in context: percentage increase is the term used when the final value is greater than the initial (positive result). When the result is negative, we have a percentage decrease.

How do you find the original value before the increase?

Use: Vi = Vf ÷ (1 + % ÷ 100)

Example: after a 25% increase the price became $125. Original value = 125 ÷ 1.25 = $100.00

Do two consecutive 10% increases add up to 20% total?

No. Two 10% increases each result in 21% total: (1.10 × 1.10 − 1) × 100 = 21%. This happens because the second increase applies to a larger base than the original.

Practical examples

Situation Initial Final Increase
Salary raise $3,000 $3,300 10%
Property price rise $400,000 $480,000 20%
Follower growth 5,000 6,750 35%
Electricity bill increase $180 $207 15%

See also…

  • Percentage Calculator
  • Percentage Decrease Calculator
  • Percentage Change Calculator
  • How to Calculate Percentage
Jean Carlos Novaes

About Jean Carlos Novaes

I hold a degree in Computer Science from the Federal University of Bahia (2017) and I am the editor and founder of this website.

Footer

Matemática Básica

Mathematics website with basic content and solved exercises for elementary and high school. Learn easily and efficiently!

ABOUT US

  • About us
  • Contact
  • Sitemap

TOPICS

  • Elementary School
  • High School
  • Financial Math
  • Math Exercises

LEGAL

  • How to cite
  • Cookie Policy
  • Privacy Policy
  • Content License

© 2015–2026 · Matemática Básica · All rights reserved.

We use cookies for website operation, analytics and marketing, and to improve your experience.

Cookie preferences