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Finding Percents of
       numbers
Using the Is over Of technique
 in conjunction with drawing
         percent bars
What do you think is the answer??

• Find 25% of 20

• Let’s draw a picture.

                          ?    25%



                          20   100%
Can you solve this as a proportion?
• Find 25% of 20

• What would the proportion look like?

  x         25
                           ?             25%
  20       1 00
       X=5
                          20             100%
We can do this Mathematically by
 using a special proportion...just
       find the following...
   The Percent – it is the easiest to find.
   Just look for the % sign!

   The “Of” number - it is always just
   behind the word of.

  The “Is” number - it may or may not be
  near the “is” word. If you find the
  other two then what is left is the “is”!
Finding is, of or a Percent
                                is          %
 Use the proportion…
                                of        100
 Find the missing number by drawing a bar and using the
proportion.

a)   15% of 900 is what?
        x        15                  ?          15%
       900      1 00
        x = 135
                                 900            100
Finding is, of or a Percent
        is         %
       of        100
Find the missing number by drawing a bar and using the
proportion.

b) What % of 84 is 63?
        63        %
        84       1 00
                                    63         x%
              X = 75%               84         100
Finding is, of or a Percent
     is          %
     of        100
  Find the missing number by drawing a bar and
  using the proportion.

c) 35% of what # is 7?
                                    7            35%
          7     35
          x    1 00
                                     ?           100
          X = 20
Finding is, of or a Percent
       is      %
        of     100
Find the missing number by drawing a bar
and using the proportion.
d) 2.5% of 120 is what?
                           ?       2.5%
      x  2.5
    1 20 1 00
       x=3                120      100
Finding is, of or a Percent
    is      %
    of      100
Find the missing number by drawing a bar
and using the proportion.
60% of 600 is what number?
     x        60
    600      1 00             x      60%

         x = 360             600     100
Homework: P. 322 #2-26 evens

You MUST show the proportion and the
work you do to get the answer.
Percent Bars
Percent Bars

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Percent Bars

  • 1. Finding Percents of numbers Using the Is over Of technique in conjunction with drawing percent bars
  • 2. What do you think is the answer?? • Find 25% of 20 • Let’s draw a picture. ? 25% 20 100%
  • 3. Can you solve this as a proportion? • Find 25% of 20 • What would the proportion look like? x 25 ? 25% 20 1 00 X=5 20 100%
  • 4. We can do this Mathematically by using a special proportion...just find the following... The Percent – it is the easiest to find. Just look for the % sign! The “Of” number - it is always just behind the word of. The “Is” number - it may or may not be near the “is” word. If you find the other two then what is left is the “is”!
  • 5. Finding is, of or a Percent is % Use the proportion… of 100 Find the missing number by drawing a bar and using the proportion. a) 15% of 900 is what? x 15 ? 15% 900 1 00 x = 135 900 100
  • 6. Finding is, of or a Percent is % of 100 Find the missing number by drawing a bar and using the proportion. b) What % of 84 is 63? 63 % 84 1 00 63 x% X = 75% 84 100
  • 7. Finding is, of or a Percent is % of 100 Find the missing number by drawing a bar and using the proportion. c) 35% of what # is 7? 7 35% 7 35 x 1 00 ? 100 X = 20
  • 8. Finding is, of or a Percent is % of 100 Find the missing number by drawing a bar and using the proportion. d) 2.5% of 120 is what? ? 2.5% x 2.5 1 20 1 00 x=3 120 100
  • 9. Finding is, of or a Percent is % of 100 Find the missing number by drawing a bar and using the proportion. 60% of 600 is what number? x 60 600 1 00 x 60% x = 360 600 100
  • 10. Homework: P. 322 #2-26 evens You MUST show the proportion and the work you do to get the answer.