Yes. You can start learning on Learnr for free. Learnr Pro unlocks higher daily limits and extra features.

Learn Percentages

Discounts, tips, grades and interest, all made quick and clear.

Free to start. Built from a single prompt. No credit card.

A percentage is a fraction out of 100: 35 percent means 35 per hundred, or 0.35. Percentages are everywhere in daily life, from sale prices and tips to test scores, tax and interest, which makes them one of the most practical things to get comfortable with. Nearly every percent problem is one of three types: finding a percent of a number, finding what percent one number is of another, or finding the original number before a change. Learnr builds a percentages course for your level, whether you are a student, an adult brushing up or a parent helping a child, and teaches it in short interactive lessons.

How to learn Percentages, step by step

Picture percent on a 100-square grid. Shade 25 squares of a 10 by 10 grid to show 25 percent, then see it is the same as one quarter. For children, this visual makes "out of 100" concrete before any rules.
Learn the benchmark percents. Memorize that 50 percent is a half, 25 percent a quarter, 10 percent a tenth and 1 percent a hundredth. Most mental math builds from these: 15 percent of 80 is 10 percent (8) plus 5 percent (4), giving 12.
Convert by moving the decimal point. Divide by 100 to go from percent to decimal, so 7 percent is 0.07, not 0.7. Multiply by 100 to go back. Then find percents of numbers by multiplying by the decimal.
Use one equation for the three problem types. Part equals percent times whole. If 18 of 24 answers are right, then 18 divided by 24 is 0.75, or 75 percent. Decide which of the three values is missing before calculating.
Master percent change and reverse percents. Percent change is the change divided by the original amount. A jacket priced $50 after 20 percent off cost $50 divided by 0.8, which is $62.50, not $60.
Practice with real prices in short sessions. Estimate tips at restaurants and discounts in shops. Pairing that with quick daily Learnr lessons and a streak turns percent sense into a habit rather than a formula.

What you'll learn

Convert between percents, decimals and fractions
Find a percent of any number, mentally and on paper
Work out what percent one number is of another
Calculate percent increase, decrease, discounts, tax and tips
Find an original value from a value after a percent change

What's inside your Percentages course

A sample path Learnr builds for Percentages. Your real course adapts to your goal and level.

1. What percent means: out of 100
2. Percents, decimals and fractions
3. Finding a percent of a number
4. Finding the percent and the whole
5. Percent change, discounts and markups
6. Real-world percents: tax, tips, interest and grades

How long does it take to learn Percentages?

Most learners can handle everyday percent problems after 1 to 3 weeks of practice at 2 to 3 hours a week. Children meeting percents for the first time may need 4 to 6 weeks, building on fractions and decimals.

What you need before you start

Multiplication, division and basic decimals. Understanding simple fractions like halves, quarters and tenths makes percents much easier to grasp.

Common mistakes to avoid

Thinking a 20 percent rise followed by a 20 percent drop returns to the start. It leaves you at 96 percent of the original, because the second change applies to a bigger number.
Dividing by the new value when computing percent change. Always divide the change by the original value.
Converting 5 percent to 0.5 instead of 0.05. Percent means divide by 100, so move the decimal two places left.

How Learnr builds your course

Type your topic

Tell Learnr you want to learn Percentages, or get as specific as you like.

Get a personalized course

Learnr instantly builds a full Percentages course tailored to your goal and skill level.

Learn and level up

Move through bite-sized lessons and interactive practice, earning XP and keeping your streak.

Percentages questions, answered

What is a quick way to calculate a tip?

Find 10 percent by moving the decimal one place left, then adjust. On a $46 bill, 10 percent is $4.60, so 20 percent is $9.20 and 15 percent is $4.60 plus half of it, $6.90.

Is 8 percent of 25 the same as 25 percent of 8?

Yes. Both equal 2, because x percent of y and y percent of x are both x times y divided by 100. Swapping can make mental math much easier.

How can I help my child with percentages?

Start with money and 100-square grids, connect percents to fractions they already know like halves and quarters, and use real shopping discounts as practice questions.