Free Calculator

Percentage Calculator

Three handy percentage calculators in one: percent of a number, percent ratio, and percent change.

① What is X% of Y?
% of =
② X is what % of Y?
is what % of =
③ Percentage Change (from X to Y)
From to =

Formula: X% of Y

Result = (X ÷ 100) × Y. For example, 25% of 200 = (25÷100)×200 = 50.

Formula: X of Y as %

Percentage = (X ÷ Y) × 100. For example, 50 is 25% of 200 because (50÷200)×100 = 25.

Percentage Change

Change% = ((New – Old) ÷ Old) × 100. A positive result is an increase; negative is a decrease.

Understanding Percentage Calculations

A percentage is simply a fraction of 100 — "25%" means "25 out of every 100." Despite being one of the first math concepts taught in school, percentage problems trip people up constantly because there are actually three distinct question types hiding behind the single word "percentage," and each needs a different formula. This calculator covers all three so you don't need to remember which formula applies to which situation.

The Three Types of Percentage Problems

Where This Comes Up in Real Life

Percentage calculations show up constantly outside the classroom: figuring out a discount at checkout ("30% off ₹1200"), calculating a tip or service charge, working out how much a salary increased year over year, checking loan interest rates, reading nutrition labels (percentage of daily value), or comparing exam scores across different total marks. Because the underlying formula differs depending on what you already know and what you're solving for, a general-purpose calculator like this one is faster and less error-prone than trying to remember and rearrange the formula by hand each time.

Frequently Asked Questions

Why is percentage change negative sometimes?

A negative result means the new value is lower than the old value — i.e., a decrease. For example, going from 100 to 80 is a −20% change.

Can percentages be greater than 100%?

Yes. If the "part" is larger than the "whole" you're comparing it to, the percentage exceeds 100% — for example, 150 is 150% of 100.

Does this handle decimals?

Yes, you can enter decimal values for both the percentage and the base number, and the result will include decimal precision.