<p> Percent</p><p>Percent means an amount or quantity out of 100</p><p>Converting from Fraction to Decimal to Percent</p><p>Fraction Decimal Percent 1 = (1÷ 10) 0.1 x 100 = 10% 10</p><p>2 = 0.40 x 100 = 40% 5</p><p>3 = 0.75 x 100 = 75% 4</p><p>2 = 0.02 x 100 = 2% 100</p><p>7 = 12</p><p>8 = 19</p><p>125 = 100</p><p>34 = 65</p><p>1 Converting from Percent to Fraction to Decimal</p><p>Percent Fraction Decimal</p><p>26% = (26% ÷ 100) 26 = 0.26 100 </p><p>83% = 83 = 0.83 100</p><p>146% = 146 = 1.46 100</p><p>32% =</p><p>18% =</p><p>5% =</p><p>88% =</p><p>25% =</p><p>2 Converting from Percent to Decimal to Fraction</p><p>Percent Decimal Fraction</p><p>65% (65% ÷ 100) 0.65 65 100</p><p>17%</p><p>53%</p><p>111%</p><p>39%</p><p>99%</p><p>46%</p><p>78%</p><p>14%</p><p>3 Examples of Percents of an Amount or Quantity</p><p>A) Percents greater than 1% but less than 100%:</p><p>20% of $36.00 = 20 or .20 x $36 = $7.20 100</p><p>B) Percents greater than 100%:</p><p>130% of $36.00 = 130 or 1.30 x $36 = $46.80 100</p><p>C) Percents less than 1% (fractional percents):</p><p>3 % of $36.00 = 0.75% of $36. = 0 .75 = 0.0075 x $36.00 = $0.27 4 100</p><p>4 Fractional Percents and Percents Greater than 100%</p><p>0 1% 50% 100%</p><p>Fractional Percents are greater than 0 but less than 1%</p><p>Understand: 1 % does not equal the fraction 1 or 0.5 2 2</p><p>1% = 0.5% = 0 .5 = 0.005 (five thousandths not five tenths) 2 100</p><p>Jane said she believed 2/3% per year of Interest on her bank account was a good rate of Interest. Do you agree? Why or why not?</p><p>Page 140 - Together do 1 2 3 4 </p><p>From your handout “Working with Mathematics” do 2abcghi, 3adgh, 4adeghlm, 5abcil, 6aeimno, 7aegjm, 8agjkop</p><p>5 Solving Percent Problems</p><p>What is 3 % of $30.00? 7</p><p>A) You can convert 3/7% to 0.43% and then use the percent keying sequence on your calculator</p><p>B) You can convert 3/7% to 0.43% then to decimal 0.0043 and then multiply 0.0043 x $30 with your calculator</p><p>C) You can use the Percent formula which is the same as the Proportion formula:</p><p>Proportion formula: x = 23 6 41</p><p>Percent Formula: % = Part (is) 100 Whole (of)</p><p>Understand: the “larger” quantity is not necessarily the “Whole” ex. What percent is $15 of $6? x % = $15 100% $ 6</p><p>6 The Percent Formula solves most percent problems x % = Part (is) 100% Whole (of)</p><p>Let’s use a shortcut!</p><p>A) Find the part of a number: What is 28% of $1200.00? </p><p>B) Find the percent one number is of another number: </p><p>What percent of $15 is $12? </p><p>C) Find the whole when the part and percent are given:</p><p>25% of what number is $48? </p><p>Let’s solve other percent problems using this formula</p><p>7 Definitions and Formulas</p><p>Cost Price is what the store pays for a product</p><p>Markup is the amount added to the store’s Cost Price. It is the store’s profit on the item</p><p>Markup Rate is the Mark Up in percent form</p><p>Mark Up Rate% = Mark Up $ 100% Cost Price</p><p>Selling Price (Retail Price or Regular Price) = Cost Price + Mark Up $ Mark Up = Selling Price - Cost Price</p><p>Discount (amount subtracted from the store’s Selling Price). The Discount is how much the store’s profit is reduced by.</p><p>Discount Rate is the Discount in percent form</p><p>Discount Rate% = Discount $ 100% Selling Price</p><p>Sale Price = Selling Price - Discount $</p><p>8 Commission is the amount of money a salesperson receives from the store when he or she sells an item. Commission is a percentage of the item’s Selling Price or Sale Price.</p><p>Commission Rate% = Commission $ 100% Selling Price</p><p>Other Percent Formulas</p><p>Percent Increase = amt. of increase x 100 = % original </p><p>Percent Decrease = amt. of decrease x 100 = % original </p><p>Markup Rate = amt. of increase x 100 = % Cost Price</p><p>Discount Rate = amt. of decrease x 100 = % Selling Price </p><p>9 Textbook</p><p>Page 143 - from CD do 1(13%) 2adgh</p><p>Page 144 - 4 5ab</p><p>Page 145 - 6ab 7ab (together) 8a 9a 10a</p><p>Problems</p><p>1. The markup rate is 30% on a calculator. The store paid $21.25 for the calculator. What is the Selling Price?</p><p>2. The store buys a pair of socks for $11 and sells it for $16. What is the markup rate?</p><p>3. The Selling Price for a shirt is $79. The discount rate is 15%. What is the amount of discount? What is the Sale Price?</p><p>4. Mr. Brown sold the sports car on display for $26 950. His commission rate is 2.5%. How much money did he earn?</p><p>10 5. A store was selling a Blue Ray Disc for $69. The manager decided to drop the price to $39.99. What is the percent decrease?</p><p>6. Calculate the retail price of a pair of jeans where the store’s cost is $44.25 and the markup rate is 15%.</p><p>7. In a survey of 270 Grade 9 students, 58% liked Rap music. How many students did not like Rap music?</p><p>8. Mrs. Green bought a dot.com stock at $35 a share. Two weeks later, she sold it for $108. What is the percent increase?</p><p>9. Mary’s soccer team won 12 games and lost 8 games. What percent of the 20 games did her team win?</p><p>10. In Miss Young’s class, 9 students have black hair. This is 25% of the class. How many students are in her class?</p><p>11. A store is marking up “PSP portable” by 150%. If each cost the store $129.15, what is the selling price for each?</p><p>11</p>