What 6th Graders Learn About Percentages

Sixth grade is when percentages get serious. Up until 5th grade, percentages show up mostly in connection with fractions (50% = 1/2, 25% = 1/4). In 6th grade, students learn to calculate percentages of numbers, convert between fractions, decimals, and percents, and solve real-world percentage problems.

A typical 6th grade percentage curriculum covers:

Converting between fractions, decimals, and percents
Finding the percent of a number (e.g., 20% of 80)
Finding the whole when given a percent (e.g., 15 is 25% of what?)
Finding what percent one number is of another (e.g., 12 is what percent of 48?)
Percent increase and decrease
Tax, tip, discount, and markup word problems

Download our Grade 6 percentages worksheet PDF for focused practice on all of these, with a full answer key.

The Foundation: Percent Means "Per Hundred"

The single most important thing a 6th grader can understand is what the word "percent" means. "Per cent" literally means "per hundred." 50% means 50 out of 100, which is the same as 1/2 or 0.5.

If your child understands this at the bone level, everything else becomes translation work. If they don't, they'll memorize procedures that fall apart when the problem is phrased a little differently.

Finding the Percent of a Number

This is the most common type of problem. "Find 20% of 80."

Two methods work:

The decimal method: 20% = 0.20. So 20% of 80 = 0.20 × 80 = 16.

The fraction method: 20% = 20/100 = 1/5. So 20% of 80 = 80 ÷ 5 = 16.

Teach both. The decimal method is faster once kids are comfortable with decimals. The fraction method is often clearer conceptually.

Common Percentages to Memorize

A few benchmark percentages are worth memorizing as fractions:

10% = 1/10 (divide by 10)
20% = 1/5 (divide by 5)
25% = 1/4 (divide by 4)
50% = 1/2 (divide by 2)
75% = 3/4
100% = the whole amount

Kids who know these can do mental math on common percentage problems. "15% tip on a $40 bill" becomes "10% is $4, and 5% is $2, so 15% is $6."

Percent Increase and Decrease

Percent change problems trip kids up. The formula:

Percent change = (new value - original value) / original value × 100

Key trap: always divide by the original value, not the new one.

Example: A jacket costs $80 and goes on sale for $60. What's the percent decrease?

(80 - 60) / 80 × 100 = 20/80 × 100 = 25%. The jacket is 25% off.

Our Grade 6 percentages worksheet PDF includes several percent change problems like this.

Word Problems

Real-world percentage problems include tax, tip, discount, commission, and simple interest. Every one of these boils down to two steps:

Find the percentage of the number (the tax, tip, discount amount, etc.)
Add or subtract it from the original

Teach your child to always ask: "What am I finding a percent of?" That's the original number. Then: "Does the answer get added to or subtracted from the original?" That tells you whether it's a markup, tax (add) or discount (subtract).

Common Mistakes

Watch for these:

Confusing "what percent of 80 is 20" with "what is 20% of 80"
Dividing by the new amount instead of the original for percent change
Forgetting to add the tax or tip back to the original
Moving the decimal the wrong way when converting percent to decimal

How to Practice

Percentage problems are best practiced in small batches — 5-10 problems at a time, worked carefully with steps written out. Spend 15 minutes a day for a week, and 6th grade percentages go from confusing to solid.

Free, printable, and answer key included — grab the Grade 6 percentages worksheet and get started.

Percentages Worksheets for Grade 6 (Free PDF)