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Calculations with Percents

45%. 8 %. 12%. Calculations with Percents. 36%. 90%. 1 0%. .7%. 64%. 85%. 57%. Review:. Change a fraction to a decimal: Divide the numerator by the denominator. Example: Change 5 / 9 to a decimal. 5 ÷ 9 means 9 5.000 5 / 9 = 0.55 or 0.56. 0.5. 5. 5.

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Calculations with Percents

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  1. 45% 8% 12% Calculations with Percents 36% 90% 10% .7% 64% 85% 57%

  2. Review: • Change a fraction to a decimal: • Divide the numerator by the denominator. • Example: Change 5/9 to a decimal. • 5 ÷ 9 means 9 5.000 • 5/9= 0.55 or 0.56 0.5 5 5 -45 0 5 -45 5 0

  3. Review: • Change a decimal/number to a percent: • Move the decimal two places to the right. (Multiply by 100). • Example: Change 0.683 to a percent. • 0.683(100) = 68.3% • Change a percent to a decimal/number: • Move the decimal two places to the left. (Divide by 100). • Example: Change 3% to a decimal. • 3 ÷ 100 = 0.03

  4. You cannot do any math problems with percents. You must change the percent to a decimal.

  5. Finding a Percent of a Number • What is 25% of 32? • Step 1: Change English to Math. • What is your variable • IS is your = sign • Change your percent to a decimal • OF means multiply • x = .25(32) • Step 2: Decide how to solve the problem, then solve. • x = 8 • 8 is 25% of 32.

  6. Finding the Percent One Number is of Another • What percent of 120 is 90? • Step 1: Change English to math. • What is your variable • OFmeans multiply • ISis your =sign • x(120)=90 • Step 2: Decide how to solve the problem, then solve. • x = 90÷120 = 0.75 • Step 3: Change your answer to a percent. • x = 75% 75% of 120 is 90.

  7. Finding a Number when the Percent is Known • 36 is 4% of what number? • Step 1: Change English to Math. • ISis your = sign • Change your percent to a decimal • OF means multiply • Whatis your variable • 36 = 0.04(x) • Step 2: Decide how to solve the problem, then solve. • 36÷ 0.04 = x • x = 900 • 36 is 4% of 900

  8. Practice: • What number is 44% of 6? • 125 is what percent of 1250? • 32 is 25% of what number? 2.64 10% 128

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