Instructions
This worksheet focuses on calculating percentages, a critical skill used in shopping, budgeting, and analyzing data. Read the instructions for each section carefully. Show your work when required.
- Complete the conversion table below by changing fractions and decimals into percentages.
- Calculate the required percentage of the given whole number.
- Solve the real-world scenarios involving discounts and taxes.
- Attempt the Challenge Zone problems for advanced practice.
Section 1: The Percent Bridge (Conversions)
A percentage is simply a fraction out of 100 (per hundred). To convert a decimal to a percentage, multiply by 100. To convert a fraction, first change it to a decimal.
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.50 | 50% |
| --- | --- | --- |
| 3/4 | ||
| --- | --- | --- |
| 0.8 | ||
| --- | --- | --- |
| 1/5 | ||
| --- | --- | --- |
| 0.03 | ||
| --- | --- | --- |
Section 2: Finding the Part
To find the percentage of a number, convert the percentage to a decimal and multiply by the whole number. (Example: 20% of 50 = 0.20 * 50 = 10)
- Calculate 10% of 90:
- Calculate 25% of 120:
- Calculate 30% of 500:
- Calculate 75% of 40:
- Calculate 12% of 300:
Section 3: Real-World Application (Shopping Trip)
You are shopping during a holiday sale. Calculate the discount amount and the final price for each item. Show your calculations in the space provided.
| Item | Original Price | Discount | Discount Amount (Show Work) | Final Price |
|---|---|---|---|---|
| Example: T-Shirt | $20.00 | 10% | 0.10 x $20.00 = $2.00 | $18.00 |
| --- | --- | --- | --- | --- |
| Headphones | $80.00 | 25% | ||
| --- | --- | --- | --- | --- |
| Backpack | $45.00 | 20% | ||
| --- | --- | --- | --- | --- |
| Video Game | $60.00 | 35% | ||
| --- | --- | --- | --- | --- |
Sales Tax and Tips
- You bought dinner for $40.00. You need to leave a 15% tip. How much is the tip, and what is the total cost of the meal?
Tip Amount: ____
Total Cost: ____
- A new book costs $18.00. Sales tax is 6%. What is the total cost including tax? (Round to the nearest cent if necessary.)
Total Cost with Tax: ____
Section 4: The Percent Puzzle (Challenge Zone)
These questions require finding the original whole number when given the resulting percentage.
Hint: If a price increased by 20%, the new price represents 120% (1.20) of the original price.
- A bicycle is on sale for $160. This price is 40% off the original price. What was the original price of the bicycle?
- After receiving a 5% raise, an employee's new weekly salary is $525. What was the employee's original weekly salary before the raise?
- If 45 students represent 75% of the entire class, how many total students are in the class?
Answer Key
Section 1: The Percent Bridge (Conversions)
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.50 | 50% |
| 3/4 | 0.75 | 75% |
| 4/5 | 0.8 | 80% |
| 1/5 | 0.20 | 20% |
| 3/100 | 0.03 | 3% |
Section 2: Finding the Part
- 9
- 30
- 150
- 30
- 36
Section 3: Real-World Application (Shopping Trip)
| Item | Original Price | Discount | Discount Amount (Show Work) | Final Price |
|---|---|---|---|---|
| Headphones | $80.00 | 25% | $20.00 | $60.00 |
| Backpack | $45.00 | 20% | $9.00 | $36.00 |
| Video Game | $60.00 | 35% | $21.00 | $39.00 |
-
Tip Amount: $6.00 (0.15 * $40.00) Total Cost: $46.00 ($40.00 + $6.00)
-
Tax Amount: $1.08 (0.06 * $18.00) Total Cost with Tax: $19.08
Section 4: The Percent Puzzle (Challenge Zone)
-
If it is 40% off, the sale price is 60% of the original price. $160 / 0.60 = $266.67 (rounded).
-
The new salary represents 105% (1.05) of the original. $525 / 1.05 = $500.00.
-
45 is 75% of the total (X). 45 / 0.75 = 60 total students.