% Percentage Calculator

Three percentage tools in one page: find a percent of a number, find what percent one number is of another, and calculate percentage increase or decrease โ€” with instant results as you type.

Mode 1: What is X% of Y?

Mode 2: X is what percent of Y?

Mode 3: Percentage Increase / Decrease

About the Percentage Calculator

A percentage is simply a number expressed as a fraction of 100 โ€” "per cent" literally means "per hundred". Percentages show up everywhere in Indian daily life: board-exam results, shop discounts, salary hikes, GST and interest rates, election vote shares and cricket strike rates. This page packs the three calculations people need most into one tool, with instant results โ€” no sign-up, and everything is calculated in your browser.

The 3 Percentage Formulas โ€” With Worked Examples

1. Finding a percent of a number: Result = (X รท 100) ร— Y. Example: what is 15% of 400? (15 รท 100) ร— 400 = 60. Use this for discounts, tips, commission and exam cut-offs.

2. Finding what percent one number is of another: Percentage = (Part รท Total) ร— 100. Example: you scored 342 out of 500 in your exams. 342 รท 500 ร— 100 = 68.4%. This is exactly how marks percentage is calculated for Class 10, Class 12 and university results โ€” just enter marks obtained and maximum marks in Mode 2.

3. Percentage increase or decrease: Change % = ((New โˆ’ Old) รท Old) ร— 100. Example: a salary rising from โ‚น40,000 to โ‚น46,000 is (6,000 รท 40,000) ร— 100 = a 15% hike. A price rising from 80 to 100 is a 25% increase; if the new value is smaller, the same formula gives a decrease.

Percentage vs Percentage Points โ€” Don't Get Fooled

These two sound alike but mean very different things. If a bank raises its fixed-deposit rate from 8% to 10%, the rate has gone up by 2 percentage points (10 โˆ’ 8). But relative to the old rate, that is a 25% increase ((10 โˆ’ 8) รท 8 ร— 100). Advertisements and news headlines often pick whichever number sounds bigger. When money is involved โ€” loan rates, mutual fund returns, discount offers โ€” always ask: points or percent?

Quick Reference: Percentages as Fractions

Many percentages are simple fractions in disguise. Remembering these makes mental maths much faster:

PercentageFractionDecimal
1%1/1000.01
5%1/200.05
10%1/100.10
12.5%1/80.125
20%1/50.20
25%1/40.25
33.33%1/30.333
50%1/20.50
66.67%2/30.667
75%3/40.75

So 12.5% of โ‚น800 is just 800 รท 8 = โ‚น100 โ€” no calculator needed. For percentages in school marks, pair this tool with our CGPA to Percentage Calculator if your result is in CGPA, or the GST Calculator when the percentage is a tax rate.

How to Use % Percentage Calculator

  1. Step 1: Pick the Right Mode

    Mode 1 finds a percent of a number, Mode 2 finds what percent one number is of another, Mode 3 finds increase or decrease between two values.

  2. Step 2: Enter Your Numbers

    Results update instantly as you type โ€” or click Calculate.

  3. Step 3: Read the Answer in a Sentence

    Each result is shown as a plain sentence, like "15% of 400 = 60", so you can copy it directly into your work.

Frequently Asked Questions

How do I calculate the percentage of marks?
Divide the marks you scored by the total marks and multiply by 100. For example, if you scored 342 out of 500, your percentage is 342 / 500 ร— 100 = 68.4%. Use Mode 2 of the calculator above โ€” enter 342 as the part and 500 as the total.
What is 15% of 400?
15% of 400 is 60. The calculation is 400 ร— 15 / 100 = 60. A quick mental trick: 10% of 400 is 40 and 5% is half of that (20), so 15% = 40 + 20 = 60.
How do I calculate percentage increase?
Subtract the old value from the new value, divide by the old value, and multiply by 100. Example: a price rising from 80 to 100 is an increase of (100 โˆ’ 80) / 80 ร— 100 = 25%. If the result is negative, it is a percentage decrease.
45 is what percent of 300?
45 is 15% of 300. The calculation is 45 / 300 ร— 100 = 15%. Use Mode 2 of this calculator for any similar question โ€” enter the part first, then the total.
How do I calculate a discount percentage?
To find the discount amount, multiply the original price by the discount percent and divide by 100. For a 20% discount on โ‚น1,500: discount = 1,500 ร— 20 / 100 = โ‚น300, so you pay โ‚น1,200. To find the discount percent from two prices, use Mode 3 โ€” a fall from โ‚น1,500 to โ‚น1,200 is a 20% decrease.
What is the difference between percentage and percentage points?
A percentage point is the simple difference between two percentages, while a percentage change is relative. If a bank raises its interest rate from 8% to 10%, that is an increase of 2 percentage points โ€” but a 25% increase relative to the old rate ((10 โˆ’ 8) / 8 ร— 100). News reports often mix these up, so check which one is meant.
How do I convert a percentage to a fraction or decimal?
To convert a percentage to a decimal, divide by 100: 75% = 0.75. As a fraction, write it over 100 and simplify: 75% = 75/100 = 3/4. Common ones worth remembering: 50% = 1/2, 25% = 1/4, 12.5% = 1/8, 10% = 1/10 and 33.33% โ‰ˆ 1/3.