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Using A Multiplier

The document explains efficient methods for calculating percentage increases and decreases using multipliers. It provides examples of increasing and decreasing values, as well as how to calculate the percentage change between two numbers. Additionally, it clarifies the relationship between percentages and multipliers in terms of expressing values as percentages of one another.

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lama agsam
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61 views2 pages

Using A Multiplier

The document explains efficient methods for calculating percentage increases and decreases using multipliers. It provides examples of increasing and decreasing values, as well as how to calculate the percentage change between two numbers. Additionally, it clarifies the relationship between percentages and multipliers in terms of expressing values as percentages of one another.

Uploaded by

lama agsam
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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6/1/25 Using a Multiplier

• There are more efficient methods to calculate percentage


increases and decreases. When you increase a number (30) by,
say 65%, you start with 30 = 100% then you find 65% of 30.
Instead, you can add the percentage to the whole: 100 + 65 =
165% and find that from 30. To find it, convert the number into
a decimal; 1.65 × 30.

> 350 is increased by 70%. Find the new value.


(1) 100 + 70 = 170%
(2) 1.7 × 350 = 595.
(3) New value = 595.
• To decrease efficiently, subtract the percentage being
reduced from 100. Multiply the answer to that to your value.

> 1250 is decreased by 45%. Find the new value.

(1) 100 - 45 = 55


(2) 0.5 × 1250 = 625.
(3) New value = 625.
• The decimal numbers you multiply by the values are called
multipliers.
• To calculate the percentage increase/decrease, subtract the
old value from the new value then divide the answer by the
old value. Convert your answer from decimal to percentage.
> The members of a club increased from 45 to 135. Find the
percentage increase.
(1) 135 - 45 = 90.
(2) 90 ÷ 45 = 2.
(3) Increase = 2 × 100 = 200%.
> The price of a couch decreases from $750 to $520. Find the
percentage decrease.
(1) 750 - 520 = 230. 
(2) 230 ÷ 750 = 0.30666.
(3) Decrease = 0.30666 × 100 = 30.7%
• Saying that something is "205% of another" is the same as
saying that something is "105% more than another" because
105% more = 105 + 100 = 205%.

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