Welcome to Kintsugi Utils

A personal toolbox for health, finance, academics, and everyday life. Let's get you set up — it only takes a moment.

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Kintsugi Utils is intended for users aged 13 and above (16+ in EU countries where that's the threshold). Please confirm your age to continue.

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Percentage & Tip

Quick percentage & tip math

About the Percentage Calculator

What is this?

A percentage expresses a number as a fraction of 100. It is one of the most common ways to describe proportions, changes, and comparisons — from discounts and tax rates to test scores and survey results. Understanding percentages helps you interpret statistics, evaluate deals, and make informed financial decisions.

How it is calculated

To find a percentage of a number, multiply the number by the percentage and divide by 100: for example, 15% of 200 = 200 × 15 ÷ 100 = 30. To express one number as a percentage of another, divide the first by the second and multiply by 100: 30 out of 200 = 30 ÷ 200 × 100 = 15%. Percentage change is calculated as (new − old) ÷ old × 100.

Reference ranges

Percentage of a value(value × %) ÷ 100
Value as a percentage(part ÷ whole) × 100
Percentage change(new − old) ÷ old × 100
Good to know: Percentage increases and decreases are not symmetrical. A 50% increase followed by a 50% decrease does not return you to the original value — it leaves you at 75% of it. Always check the base the percentage is calculated on.

Frequently asked questions

What is the difference between percentage points and percent?

If an interest rate rises from 5% to 7%, that is a 2 percentage point increase, but a 40% relative increase (2 ÷ 5 × 100). The distinction matters in finance and statistics.

How do I calculate a discount?

Multiply the original price by the discount percentage and subtract from the original. A 25% discount on 80 is 80 × 0.25 = 20, so the sale price is 80 − 20 = 60.

Why do percentages sometimes add up to more than 100%?

When categories overlap (people can be in more than one group), the total can exceed 100%. This is common in survey data and does not indicate an error.

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Percentage & Tip

Quick percentage calculations and a tip splitter. Switch modes at the top.