What is percentages?

Why it matters

Percents are the language of discounts, tips, sales tax, test scores, interest rates, and statistics. Once kids see that a percent is just a fraction with 100 on the bottom, every "find 20% of 60" problem becomes the same kind of move they already know from fractions and decimals.

Worked example

What is 20% of 60?

1. 1

   Rewrite the percent as a decimal: 20% = 20/100 = 0.20.

   Moving the decimal point two places to the left turns any percent into its decimal form, because "percent" means "per 100."

2. 2

   "Of" in a percent problem means multiply. So "20% of 60" becomes 0.20 × 60.

   The word "of" is the multiplication signal — same as in fractions ("1/2 of 8" means 1/2 × 8).

3. 3

   Multiply: 0.20 × 60 = 12.

   You can also think of it as 1/5 of 60 (since 20% = 1/5), and 60 ÷ 5 = 12.

4. 4

   Sanity check: 10% of 60 is 6 (just move the decimal one place). 20% is double that — 12. ✓

   The "find 10% first" trick is the fastest mental-math check for any percent problem.

Common mistakes

• •Forgetting to convert the percent to a decimal or fraction before multiplying — writing 20 × 60 = 1,200 instead of 0.20 × 60 = 12.
• •Moving the decimal the wrong direction (e.g. turning 20% into 2.0 instead of 0.20).
• •Confusing "20% of 60" with "60% of 20" — they happen to give the same answer (12), but kids assume that’s a rule when it’s a coincidence of the commutative property.
• •On percent-change problems (discount, markup): finding the percent but forgetting to subtract from or add to the original. A 25%-off $80 shirt costs $60, not $20.

How Briveli teaches percentages

Briveli introduces percents in Grade 6 alongside fractions and decimals (so kids see the three forms as the same number written three ways) and moves into percent-change, tax, tip, and discount word problems in Grade 7.