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How to Calculate Percentages — Without Mixing Up the Formula

Four common percentage questions, the formula behind each one, and a free calculator so you never have to remember which number goes where.

📅 August 2026•⏱ 5 min read•🏷 Developer Tools

Percentage math is simple once you know which formula applies — the tricky part is that four fairly different everyday questions all get called "percentage calculations," and each one uses the numbers in a different order. Here's a quick reference for each, plus a free calculator that handles all four without needing to remember the formula.

Finding X% of a Number

This is the most common case — "what is 15% of 200?" The formula is:

(percent ÷ 100) × value = result

For 15% of 200: (15 ÷ 100) × 200 = 30.

Finding What Percent One Number Is of Another

This is the reverse question — "30 is what percent of 200?" Common for test scores, survey results, or figuring out what share something represents.

(part ÷ whole) × 100 = percent

For 30 out of 200: (30 ÷ 200) × 100 = 15%.

Percentage Increase and Decrease

This measures how much something changed relative to where it started — a salary, a stock price, a weight, a business metric.

((new − old) ÷ old) × 100 = % change

Going from 80 to 100: ((100 − 80) ÷ 80) × 100 = 25% increase. Note the change is always measured against the starting value — going from 50 to 100 is a 100% increase, not 50%, because 100 is double the original 50.

Discounts, Tips, and Adding Tax

To find a final price after a discount, or a total after adding a tip or tax, calculate the percentage amount first, then add or subtract it from the original value:

Discount: value − (value × percent ÷ 100) = final price

Adding tax/tip: value + (value × percent ÷ 100) = final total

For a ₹500 item with a 20% discount: 500 − (500 × 20 ÷ 100) = ₹400.

Frequently Asked Questions

Why is going from 50 to 100 a 100% increase, not 50%?

Percentage change is measured relative to the starting value. Since 100 is exactly double 50, that's a 100% increase over the original amount, not a flat 50-point difference expressed as a percent.

What's the fastest way to calculate a discount?

Multiply the price by the discount percent, divide by 100, then subtract that from the original price — or use the Add/Subtract mode on the calculator to skip the manual steps.

How do I calculate a percentage decrease?

Same formula as an increase — ((new − old) ÷ old) × 100 — the result comes out negative when the new value is lower, which represents the decrease.

Can percentages be negative?

Yes — a negative percentage in a change calculation simply means a decrease rather than an increase.

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