CCSS.MATH.7.RP.A.2 / TEKS 7.4.A.2✓ Department for Education (DfE) / Ofqual AlignedAcademic Year 2026–27
Percentages as Rates per Hundred
Convert fluently between decimals, fractions, and percentages, and calculate sales tax, discounts, and tips.
Why It Matters:Fundamental for consumer budgeting, interest rates, retail discounts, and tax computations.
Curated Video Instruction
● Verified Active EmbedSTEP-BY-STEP PROOF
Worked Example
Calculate 15% tip on a $60 restaurant bill:
1
Convert percent to decimal
15% = 15/100 = 0.15
Percent means per hundred.
2
Multiply bill by decimal rate
60 * 0.15 = 9.00
The tip is $9.00.
3
Calculate total bill
60 + 9 = $69.00
Total bill with tip is $69.00.
✓Verification Check
Verify mental math: 10% of 60 is 6; 5% is 3; 6 + 3 = 9.
6 + 3 = 9
•
9 = 9
⚠️ Common Pitfalls & Misconceptions
Multiplying by the whole percent number without converting to decimal
✗ Calculating 60 * 15 = $900 tip✓ Always convert percent to decimal (15% = 0.15) or divide by 100 first
15% is a fraction (15/100), not a multiplier of 15.
INTERACTIVE DRILLS
Guided Practice
Practice Question1 of 1
Step-by-step Feedback
What is 20% of 80?
MASTERY BENCHMARK
Official Assessment Quiz
Formal Assessment
Percentages as Rates per Hundred
Passing Criteria:70% or higher
Question 1 of 1
What is 1/4 expressed as a percentage?
Education to Career Navigation
Where This Lesson Leads
Accountants, Retail Buyers, and Real Estate Agents calculate percentages constantly.