4.03 Percentage of quantities
Complete the table of fraction to percentage conversions.
| Fraction | \dfrac{1}{1} | \dfrac{1}{2} | \dfrac{1}{4} | \dfrac{1}{5} | \dfrac{1}{8} | \dfrac{1}{20} | \dfrac{1}{50} | \dfrac{1}{100} | ||
|---|---|---|---|---|---|---|---|---|---|---|
| Percentage | 50\% | 10\% | 4\% | 1\% |
25\% of a quantity is the same as ⬚ of that quantity.
200\% of a quantity is the same as ⬚ of that quantity.
Find the following quantities by first converting the percentage into a fraction.
15\% of 160
250\% of 12
16\% of 275
175\% of 20
Find the following quantities by first converting the percentage into decimal.
90\% of 20
220\% of 10
60\% of 60
21\% of 400
Show a way to correctly calculate 25\% of 140.
Find the following:
10\% of 90
20\% of 45
1\% of 900
2\% of 400
500\% of 11
350\%of 16
60\% of 30
45\% of 160
200\% of 13
150\%of 18
80\% of 40
50\% of 320
Find the following:
10\% of 80\text{ g}
20\% of \$60
30\% of \$200
2\% of 300\text{ mL}
90\% of 80\text{ kg}
70\%of 20\text{ km}
25\% of 120\text{ L}
75\% of \$24
Follow the steps in each case to determine the given quantity:
75\% of 28.
How many groups of 25\% go into 75\%?
What is 25\% of 28?
Hence, find 75\% of 28.
140\% of 35.
How many groups of 20\% go into 140\%?
What is 20\% of 35?
Hence, find 140\% of 35.
28\% of of 175.
How many groups of 4\% go into 28\%?
What is 4\% of 175?
Hence, find 28\% of 175.
7\% of 300.
How many groups of 1\% go into 7\%?
What is 1\% of 300?
Hence, find 7\% of 300.
Which is greater:
62\% of 38\quad or \quad62\% of 46?
27\% of 230\quad or \quad13\% of 230?
70\% of 30\quad or \quad250\% of 18?
45\% of 180\quad or \quad7\% of 700?
13\% of 17\quad or \quad29\% of 13?
36\% of 48\quad or \quad24\% of 63?
When finding a percentage of 82 that is above 100\%, will the result be smaller or larger than 82?
When finding a percentage of 82 that is below 100\%, will the result be smaller or larger than 82?
Find the following:
60\% of 82
120\% of 82
Lisa scored 95\% on her geography exam, which was marked out of 160. What was Lisa's actual mark out of 160?
A theatre has a capacity of 3000 people. On the opening night the theatre was 97\% full. On the second night it was 78\% full.
How many people attended the theatre on the first night?
How many people attended theatre second night?
How many people attended the theatre in total during the first 2 nights.
A stadium can hold 5000 people. The stadium is 70\% full and 11\% of the audience are children.
How many people are there in the stadium?
How many children are there in the stadium?
Yuri is eating a box of cookies. The nutritional information states that each cookie contains 7\% of his recommended daily intake of sugar.
If his recommended daily intake of sugar is 37\,500\text{ mg}, how many milligrams of sugar does each cookie contain?