Answers
 c. Find 17% by multiplying $65 by the decimal equivalent of 17% (0.17); $65 × 0.17 = $11.05. The tip is $11.05.
 a. Find 54% of 23,500 by multiplying 23,500 by the decimal equivalent of 54% (0.54); 23,500 × 0.54 = 12,690; 12,690 people are expected to vote for Mr. Salva.
 c. The original price of the bike is 100%. If the sale takes 30% off the price, it will leave 70% of the original price (100% – 30% = 70%).
 b. Find 13.5% of $10 and subtract it from $10. Find 13.5% of $10 by multiplying $10 by the decimal equivalent of 13.5% (0.135); $10 × 0.135 = $1.35; $1.35 is taken off the price of the mittens. Subtract $1.35 from $10 to find the sale price; $10 – $1.35 = $8.65. The sale price is $8.65.
 a. Use a proportion to solve the problem; The Whole is $1,500 and the part is $525. You are looking for the %, so it is x. To solve the proportion, crossmultiply, set the crossproducts equal to each other, and solve as shown below.
 c. Find 32% of $5,000 by multiplying $5,000 by the decimal equivalent of 32% (0.32); $5,000 × 0.32 = $1,600.
 a. Divide the part by the Whole; 1,152 ÷ 3,600 = 0.32. Change the decimal to a percent by multiplying by 100 (move the decimal point two places to the right); 32% of the people surveyed said that they work more than 40 hours a week.
 b. Find 15% of 60 inches and add it to 60 inches. Find 15% by multiplying 60 by the decimal equivalent of 15% (0.15); 60 × 0.15 = 9. Add 9 inches to 60 inches to get 69 inches.
 c. Call the original price of the jeans x. First 20% is deducted from the original cost (the original cost is 100%); 80% of the original cost is left (100% – 20% = 80%); 80% of x is 0.80x. The cost of the jeans after the first discount is 0.80x. This price is then discounted 15%. Remember 15% is taken off the discounted price; 85% of the discounted price is left. Multiply the discounted price by 0.85 to find the price of the jeans after the second discount; (0.85)(0.80x) is the cost of the jeans after both discounts. We are told that this price is $17. Set the two expressions for the cost of the jeans equal to each other (0.85)(0.80x) = $17 and solve for x (the original cost of the jeans).
 a. Use a proportion to solve the problem; The whole is the price of the basket (which is unknown, so call it x), the part is the tax of $0.72, and the percentage is 5. The proportion is Solve the proportion by crossmultiplying, setting the crossproducts equal to each other, and solving as shown below.
 c. Break the rectangle into eighths as shown below. The shaded part is
 a. To find 20%, add 5% to 15%. Since 15% is known to be $42, 5% can be found by dividing $42 by 3 (15% ÷ 3 = 5%); $42 ÷ 3 = $14. To find 20%, add the 5% ($14) to the 15% ($42); $14 + $42 = $56; 20% is $56.
 d. Use a proportion to solve the problem; The part is $100,000, the whole is $130,000, and the percentage is x because it is unknown; To solve the proportion, crossmultiply, set the crossproducts equal to each other, and solve as shown below.
 b. Multiply $359,000 by the decimal equivalent of 1.5% (0.015) to find her commission; $359,000 × 0.015 = $5,385; $5,385 is the commission.
 d. To find the price he sells it for, add the markup to his cost ($42). The markup is 110%. To find 110% of his cost, multiply by the decimal equivalent of 110% (1.10); $42 × 1.10 = $46.20. The markup is $46.20. Add the markup to his cost to find the price the vase sells for; $46.20 + $42.00 = $88.20.
 c. Use a proportion to solve the problem; The part is $125,000 (the part Michelle owns), the whole is $400,000 (the whole value of the house), and the percentage is x because it is unknown.
 d. Find the Social Security tax and the State Disability Insurance, and then subtract the answers from Kyra's weekly wages. To find 7.51% of $895, multiply by the decimal equivalent of 7.51% (0.0751); $895 × 0.0751 = $67.21 (rounded to the nearest cent). Next, find 1.2% of her wages by multiplying by the decimal equivalent of 1.2% (0.012); $895 × 0.012 = $10.74. Subtract $67.21 and $10.74 from Kyra's weekly wages of $895 to find her weekly paycheck; $895 – $67.21 – $10.74 = $817.05. Her weekly paycheck is $817.05.
 a. Find 5% of the bill by multiplying by the decimal equivalent of 5% (0.05); $178 × 0.05 = $8.90. They will save $8.90.
 d. Find 30% of 1,800 by multiplying by the decimal equivalent of 30% (0.30); 1,800 × 0.30 = 540. The maximum number of calories from fats per day is 540.
 c. Find 24% of $1,345 by multiplying by the decimal equivalent of 24% (0.24); $1,345 × 0.24 = $322.80. $322.80 can be deducted.
 b. Use the proportion You are looking for the whole (100% is the whole capacity of the plant). The part you know is 450 and it is 90% of the whole; To solve the proportion, cross multiply, set the crossproducts equal to each other, and solve as shown below.
 b. Multiply by the decimal equivalent of % (0.005) to find the amount of increase; $152,850 × 0.005 = $764.25. This is how much sales increased. To find the actual amount of sales, add the increase to last month's total; $152,850 + $764.25 = $153,614.25.
 c.Find 5% of 220 by multiplying 220 by the decimal equivalent of 5% (0.05); 220 × 0.05 = 11 people.
Another way to compute the sale price is to find what percent is left after taking the discount. The original price was 100% and 13.5% is taken off; 86.5% is left (100% – 13.5% = 86.5%). Find 86.5% of the original cost by multiplying $10 by the decimal equivalent of 86.5% (0.865); $10 × 0.865 = $8.65.
They have raised 35% of the goal.
Another way to find the percent is to divide the part by the Whole, which gives you a decimal. Convert the decimal into a percent by multiplying by 100 (move the decimal point two places to the right);
Another way to find the answer is to use a proportion; The part is 1,152, the Whole is 3,600, and the % is x. To solve the proportion, crossmultiply, set the crossproducts equal to each other, and solve as shown below.
The original price of the jeans was $25.
The price of the basket was $12.
77% of the budget has been spent.
A common mistake is to use 0.15 for the decimal equivalent of 1.5%; 0.15 is equivalent to 15%. Remember, to find the decimal equivalent of a percent, move the decimal point two places to the left.
To solve the proportion, crossmultiply, set the crossproducts equal to each other, and solve as shown below.
Michelle owns 31.25% of the vacation home.
A common mistake is to use 0.5 instead of 0.05 for 5%; 0.5 is 50%.
100% capacity is 500 cars.
Another way to look at the problem is to find 10% and multiply it by 10 to get 100%. Given 90%, divide by 9 to find 10%; 450 ÷9 = 50. Multiply 10% (50) by 10 to find 100%; 50 × 10 = 500.
A common mistake is to use 0.5 (50%) or 0.05 (5%) for%. Rewrite % as 0.5%. To find the decimal equivalent, move the decimal point two places to the left. This yields 0.005.
A common mistake is to use 0.5 for 5%; 0.5 is actually 50%.
More practice problems on percents word problems can be found at:
 Percents Word Problems Practice Questions Set 1
 Percents Word Problems Practice Questions Set 2
 Percents Word Problems Practice Questions Set 3 (You are here)
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