To solve __% of A is B.
Change:
__ to x,
of to * (multiplication)
is to =
Do the algebra to solve the equation.
Write x as a percent.
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1. Finding the Percent in
Percent Problems
To solve __% of A is B.
Change:
__ to x,
of to * (multiplication)
is to =
Do the algebra to solve the equation.
Write x as a percent.
2. Find the percent: __% of 60 is 8.4
Write the equation and solve it:
x (60) 8.4
60 x 8.4
60 x 8.4
60 60
x .14
x 14%
3. What percent of 20 is 23?
Write the equation and solve it:
__ % of 20 is 23
x (20) 23
20 x 23
20 x 23
20 20
x 1.15
x 115%
Note: the percent can be greater than 100%
4. 34 is what percent of 68?
Write the equation and solve it:
34 is __% of 68
34 x (68)
34 68 x
34 68 x
68 68
34 17 1
x
68 34 2
.5 x
50% x
5. This is basically changing a fraction to
a percent.
From a previous tweet, we know
change a fraction to a percent, divide,
and write the decimal as a percent.
__% of whole = part
Note: the ‘part’ can be larger than the whole.
When the part IS larger than the whole, then the
percent is greater than 100%.
6. Examples:
1. The producer expected 500 410 is __% of 500
people at the concert. 410 people 410 x (500)
attended. 410 is what percent of 410
x
the expected number? 500
.82 x
82%
2. To advertise her pastry shop, what% of 400 is 142
Heather planned to spend $400. 400 x 142
For newspaper ads she spent 142
$142. What percent of the $400 x
400
has she spent? x .355
35.5%
7. Examples:
3. The height of the original
picture is 4 inches. Bill wants to
enlarge it, on the __% of 4 is 7
photocopier, to make it 7
4x 7
inches high. What percent of 4
inches is 7 inches? 7
x
4
x 1.75
175%
The photocopier should be set at 175%.