Percentage Basics & Introduction
- By Kari Knisely
What you will learn…


 Where percents come from

 What percents are

 What percents look like

 Common percentages used in everyday life

 Why we use percents
Where Percents Come From

 Italian roots most commonly assumed
Where did percents come from?




Merriam-Webster – click here for more information


Encyclopedia/Merriam-Webster – click here for more information




Merriam-Webster Dictionary. Retrieved on March, 24 2012 from http://www.merriam-
webster.com/dictionary/percent
What Percents are & Basic Info

 Converts any quantity into a part of 100 to easily compare
What is a Percent?


     Per cent
      Per 100
        ÷ 100
   %= parts per 100
Percents as Fractions

Steps
2.Percentage number becomes numerator
3.Denominator becomes 100
4.Remove the percent sign
5.Simplify


             75        75        25     3
75 %
             100       100       25     4
            75 %         3
                         4
Percents as Decimals

Steps
2.Move decimal 2 places left
3.Remove the percent sign
4.Re-write decimal




75 %           75.0 %          75.0 %
                                      0.75
Is more than 100% possible?




             200%
Is more than 100% possible?




             175%

                              75%
What does a percent look like?



             %
What does a percent look like?
What does a percent look like?

   40 Test Questions = 100% = 1.0
What does a percent look like?
   40 Test Questions = 100% = 1.0




         50%        50%
         20 ?s      20 ?s
         0.50       0.50
What does a percent look like?
   40 Test Questions = 100% = 1.0


           25%     25%
           10 ?s   10 ?s
           0.25    0.25
           25%     25%
           10 ?s   10 ?s
           0.25    0.25
What does a percent look like?
   40 Test Questions = 100% = 1.0
             12.5% 12.5%
             5 ?s  5 ?s
       12.5% 0.125 0.125 12.5%
       5 ?s              5 ?s
       0.125             0.125
        12.5%             12.5%
        5 ?s              5 ?s
        0.125 12.5% 12.5% 0.125
              5 ?s  5 ?s
              0.125 0.125
Common Percentage Types

 Discounts & Sales

 Tips

 Taxes
Common Percentage Types
Common Percentage Types




                 Calculate
Common Percentage Types




                 Calculate
Common Percentage Types
Common Percentage Types




Calculate
Common Percentage Types




Calculate
Common Percentage Types
Common Percentage Types
                    Original     $24.99

                    Discount     - 7.50

                    Sale Price   $17.49

                    FL Tax Rate 6% = ?




Calculate
Common Percentage Types
                    Original     $24.99

                    Discount     - 7.50

                    Sale Price   $17.49

                    FL Tax Rate 6% = ?




Calculate
Why do we use percents?


 Compare different quantities
Why do we use percents?

Brad’s Math Test        Kim’s Science Test
45 questions correct    52 questions correct
IF 50 questions total   IF 60 questions total
Why do we use percents?
                                               45 ?s
                                                If 50 total ?s
0 ?s       12.5 ?s       25 ?s       37.5 ?s       50 ?s


0%         25%           50%            75%        100%
                                               ≈ 90%

             Brad’s Math Test
             45 questions correct
             IF 50 questions total
Why do we use percents?

             Kim’s Science Test
             52 questions correct
                 IF 60 questions total



                                                 52 ?s
                                                    If 60 total ?s
o ?s      15 ?s            30 ?s         45 ?s           60 ?s


0%         25%              50%          75%             100%
                                                 ≈ 87%
Why do we use percents?
                                          45 ?s
                                            If 50 total ?s
0 ?s        12.5 ?s   25 ?s   37.5 ?s           50 ?s


0%          25%       50%        75%            100%
                                          ≈ 90%

                                        52 ?s
                                           If 60 total ?s
 o ?s      15 ?s      30 ?s    45 ?s            60 ?s


 0%         25%        50%      75%             100%
                                        ≈ 87%
Why do we use percents?

Brad’s Math Test        Kim’s Science Test
45 questions correct    52 questions correct
IF 50 questions total   IF 60 questions total




 = 90%                      = 87%
Why do we use percents?

Brad’s Math Test        Kim’s Science Test
16 questions correct    16 questions correct
IF 20 questions total   IF 24 questions total
Why do we use percents?

                                              16 ?s   If 20 total ?s
0 ?s       5 ?s           10 ?s           15 ?s          20 ?s


0%         25%             50%            75%            100%

                                             ≈ 80%

                  Brad’s Math Test
                  16 questions correct
                  IF 20 questions total
Why do we use percents?
             Kim’s Science Test
             16 questions correct
                 IF 24 questions total




                                     16 ?s         If 24 total ?s
o ?s      6 ?s             12 ?s         18 ?s         24 ?s


0%         25%              50%              75%        100%
                                    ≈ 65%
Why do we use percents?

                                       16 ?s    If 20 total ?s
0 ?s        5 ?s   10 ?s           15 ?s           20 ?s


0%          25%     50%             75%             100%

                                      ≈ 80%


                            16 ?s              If 24 total ?s
 o ?s      6 ?s    12 ?s        18 ?s              24 ?s


 0%         25%     50%             75%             100%
                           ≈ 65%
Why do we use percents?

Brad’s Math Test        Kim’s Science Test
16 questions correct    16 questions correct
IF 20 questions total   IF 24 questions total




   ≈ 80%                        ≈ 65%
What you have learned…


 Where percents come from

 What percents are

 What percents look like

 Common percentages used in everyday life

 Why we use percents
Works Cited


 All images retrieved from Google images
Why do we use percents?

                                       16 ?s    If 20 total ?s
0 ?s        5 ?s   10 ?s           15 ?s           20 ?s


0%          25%     50%             75%             100%

                                      ≈ 80%


                            16 ?s              If 24 total ?s
 o ?s      6 ?s    12 ?s        18 ?s              24 ?s


 0%         25%     50%             75%             100%
                           ≈ 65%
Why do we use percents?
                                          45 ?s
                                            If 50 total ?s
0 ?s        12.5 ?s   25 ?s   37.5 ?s           50 ?s


0%          25%       50%        75%            100%
                                          ≈ 90%

                                        52 ?s
                                           If 60 total ?s
 o ?s      15 ?s      30 ?s    45 ?s            60 ?s


 0%         25%        50%      75%             100%
                                        ≈ 87%

Tutorial1

  • 1.
    Percentage Basics &Introduction - By Kari Knisely
  • 2.
    What you willlearn…  Where percents come from  What percents are  What percents look like  Common percentages used in everyday life  Why we use percents
  • 3.
    Where Percents ComeFrom  Italian roots most commonly assumed
  • 4.
    Where did percentscome from? Merriam-Webster – click here for more information Encyclopedia/Merriam-Webster – click here for more information Merriam-Webster Dictionary. Retrieved on March, 24 2012 from http://www.merriam- webster.com/dictionary/percent
  • 5.
    What Percents are& Basic Info  Converts any quantity into a part of 100 to easily compare
  • 6.
    What is aPercent? Per cent Per 100 ÷ 100 %= parts per 100
  • 7.
    Percents as Fractions Steps 2.Percentagenumber becomes numerator 3.Denominator becomes 100 4.Remove the percent sign 5.Simplify 75 75 25 3 75 % 100 100 25 4 75 % 3 4
  • 8.
    Percents as Decimals Steps 2.Movedecimal 2 places left 3.Remove the percent sign 4.Re-write decimal 75 % 75.0 % 75.0 %   0.75
  • 9.
    Is more than100% possible? 200%
  • 10.
    Is more than100% possible? 175% 75%
  • 11.
    What does apercent look like? %
  • 12.
    What does apercent look like?
  • 13.
    What does apercent look like? 40 Test Questions = 100% = 1.0
  • 14.
    What does apercent look like? 40 Test Questions = 100% = 1.0 50% 50% 20 ?s 20 ?s 0.50 0.50
  • 15.
    What does apercent look like? 40 Test Questions = 100% = 1.0 25% 25% 10 ?s 10 ?s 0.25 0.25 25% 25% 10 ?s 10 ?s 0.25 0.25
  • 16.
    What does apercent look like? 40 Test Questions = 100% = 1.0 12.5% 12.5% 5 ?s 5 ?s 12.5% 0.125 0.125 12.5% 5 ?s 5 ?s 0.125 0.125 12.5% 12.5% 5 ?s 5 ?s 0.125 12.5% 12.5% 0.125 5 ?s 5 ?s 0.125 0.125
  • 17.
    Common Percentage Types Discounts & Sales  Tips  Taxes
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
    Common Percentage Types Original $24.99 Discount - 7.50 Sale Price $17.49 FL Tax Rate 6% = ? Calculate
  • 26.
    Common Percentage Types Original $24.99 Discount - 7.50 Sale Price $17.49 FL Tax Rate 6% = ? Calculate
  • 27.
    Why do weuse percents?  Compare different quantities
  • 28.
    Why do weuse percents? Brad’s Math Test Kim’s Science Test 45 questions correct 52 questions correct IF 50 questions total IF 60 questions total
  • 29.
    Why do weuse percents? 45 ?s If 50 total ?s 0 ?s 12.5 ?s 25 ?s 37.5 ?s 50 ?s 0% 25% 50% 75% 100% ≈ 90% Brad’s Math Test 45 questions correct IF 50 questions total
  • 30.
    Why do weuse percents? Kim’s Science Test 52 questions correct IF 60 questions total 52 ?s If 60 total ?s o ?s 15 ?s 30 ?s 45 ?s 60 ?s 0% 25% 50% 75% 100% ≈ 87%
  • 31.
    Why do weuse percents? 45 ?s If 50 total ?s 0 ?s 12.5 ?s 25 ?s 37.5 ?s 50 ?s 0% 25% 50% 75% 100% ≈ 90% 52 ?s If 60 total ?s o ?s 15 ?s 30 ?s 45 ?s 60 ?s 0% 25% 50% 75% 100% ≈ 87%
  • 32.
    Why do weuse percents? Brad’s Math Test Kim’s Science Test 45 questions correct 52 questions correct IF 50 questions total IF 60 questions total = 90% = 87%
  • 33.
    Why do weuse percents? Brad’s Math Test Kim’s Science Test 16 questions correct 16 questions correct IF 20 questions total IF 24 questions total
  • 34.
    Why do weuse percents? 16 ?s If 20 total ?s 0 ?s 5 ?s 10 ?s 15 ?s 20 ?s 0% 25% 50% 75% 100% ≈ 80% Brad’s Math Test 16 questions correct IF 20 questions total
  • 35.
    Why do weuse percents? Kim’s Science Test 16 questions correct IF 24 questions total 16 ?s If 24 total ?s o ?s 6 ?s 12 ?s 18 ?s 24 ?s 0% 25% 50% 75% 100% ≈ 65%
  • 36.
    Why do weuse percents? 16 ?s If 20 total ?s 0 ?s 5 ?s 10 ?s 15 ?s 20 ?s 0% 25% 50% 75% 100% ≈ 80% 16 ?s If 24 total ?s o ?s 6 ?s 12 ?s 18 ?s 24 ?s 0% 25% 50% 75% 100% ≈ 65%
  • 37.
    Why do weuse percents? Brad’s Math Test Kim’s Science Test 16 questions correct 16 questions correct IF 20 questions total IF 24 questions total ≈ 80% ≈ 65%
  • 38.
    What you havelearned…  Where percents come from  What percents are  What percents look like  Common percentages used in everyday life  Why we use percents
  • 39.
    Works Cited  Allimages retrieved from Google images
  • 40.
    Why do weuse percents? 16 ?s If 20 total ?s 0 ?s 5 ?s 10 ?s 15 ?s 20 ?s 0% 25% 50% 75% 100% ≈ 80% 16 ?s If 24 total ?s o ?s 6 ?s 12 ?s 18 ?s 24 ?s 0% 25% 50% 75% 100% ≈ 65%
  • 41.
    Why do weuse percents? 45 ?s If 50 total ?s 0 ?s 12.5 ?s 25 ?s 37.5 ?s 50 ?s 0% 25% 50% 75% 100% ≈ 90% 52 ?s If 60 total ?s o ?s 15 ?s 30 ?s 45 ?s 60 ?s 0% 25% 50% 75% 100% ≈ 87%

Editor's Notes

  • #29 Can we assume Kim did better than Brad because she got more questions right even though there were different amounts of questions on the tests? ? 100 is an easy number to work with. If we compare the two test scores out of parts per 100 then we can compare them evenly.
  • #33 Can we assume Kim did better than Brad because she got more questions right even though there were different amounts of questions on the tests? ? 100 is an easy number to work with. If we compare the two test scores out of parts per 100 then we can compare them evenly.
  • #34 Can we assume Kim did better than Brad because she got more questions right even though there were different amounts of questions on the tests? ? 100 is an easy number to work with. If we compare the two test scores out of parts per 100 then we can compare them evenly.
  • #38 Can we assume Kim did better than Brad because she got more questions right even though there were different amounts of questions on the tests? ? 100 is an easy number to work with. If we compare the two test scores out of parts per 100 then we can compare them evenly.