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Percents with Proportions

Percents with Proportions. Percents Review. Decimal to a Percent :. 1.) Multiply it by 100. 2 .) Move the decimal 2 places to the right. Percent to a Decimal :. 1.) Divide it by 100. 2 .) Move the decimal 2 places to the left. Percents Review. Fraction to a Percent :.

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Percents with Proportions

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  1. Percents with Proportions

  2. Percents Review Decimal to a Percent : 1.) Multiply it by 100 2.) Move the decimal 2 places to the right Percent to a Decimal : 1.) Divide it by 100 2.) Move the decimal 2 places to the left

  3. Percents Review Fraction to a Percent : 1.) Change fraction to a decimal 2.) Move the decimal 2 places to the right Percent to a Fraction : 1.) Write percent over 100 to create fraction 2.) Simplify fraction

  4. Percents and Proportions Finding Percent (Part) of a Whole: Method One: Write a Proportion Find 45% of 32 45 100 x 32 Write Percent over 100 and Unknown over total = = 1,440 100x Cross Multiply & Simplify = 1,440 100 100x 100 Divide Each Side by 100 = 14.4 x Simplify

  5. Percents and Proportions Finding Percent (Part) of a Whole: Method One: Write a Proportion 80 100 x 72 Find 80% of 72 Write Percent over 100 and Unknown over total = = 5,760 100x Cross Multiply & Simplify 5,760 100 100x 100 = Divide Each Side by 100 = 57.6 x Simplify

  6. Percents and Proportions Finding Percent (Part) of a Whole: 3 100 x 48 Method One: Write a Proportion Find 3% of 48 Write Percent over 100 and Unknown over total = = 144 100x Cross Multiply & Simplify 144 100 100x 100 = Divide Each Side by 100 = 1.44 x Simplify

  7. Percents and Proportions Finding Percent (Part) of a Whole: 125 100 x 72 Method One: Write a Proportion Find 125% of 72 Write Percent over 100 and Unknown over total = = 9,000 100x Cross Multiply & Simplify 9000 100 100x 100 = Divide Each Side by 100 = 90 x Simplify

  8. Percents and Proportions Finding Whole Amount: Method One: Write a Proportion 30 100 45 w 45 is 30% of what #? Write Percent over 100 and Total over unknown = = 30w 4,500 Cross Multiply & Simplify 30w 30 4,500 30 = Divide Each Side to clear variable = w 150 Simplify

  9. Percents and Proportions Finding Whole Amount: 80 100 6 w Method One: Write a Proportion 6 is 80% of what #? Write Percent over 100 and Total over unknown = = 80w 600 Cross Multiply & Simplify = 80w 80 600 80 Divide Each Side to clear variable = w 7.5 Simplify

  10. Percents and Proportions Finding Whole Amount: Method One: Write a Proportion 56 is 72% of what #? 72 100 56 w Write Percent over 100 and Total over unknown = = 72w 5,600 Cross Multiply & Simplify = 72w 72 5,600 72 Divide Each Side to clear variable = w 77.78 Simplify

  11. Percents and Proportions Finding a Percent: 105 is what percent of 200? Method One: Write a Proportion 105 200 p 100 Write part over total and Unknown over 100 (percent) = = 10,500 200p Cross Multiply & Simplify 10500 200 200p 200 = Divide Each Side to clear variable = 52.5% p Simplify

  12. Percents and Proportions Finding a Percent: 16 is what percent of 25? Method One: Write a Proportion 16 25 p 100 Write part over total and Unknown of 100 (percent) = = 1,600 25p Cross Multiply & Simplify 1600 25 25p 25 = Divide Each Side to clear variable = 64% p Simplify

  13. Percents and Proportions Finding a Percent: 18 is what percent of 42? Method One: Write a Proportion 18 42 p 100 Write part over total and Unknown of 100 (percent) = = 1,800 42p Cross Multiply & Simplify 1800 42 42p 42 = Divide Each Side to clear variable = p Simplify 42.86%

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