R3 Quickly Finding Percents "of 240"

Percent means out of 100 so 50% means 50 out of

100 or 50/100.  This simplifies to ½.  Since "of" means

multiply we can multiply by ½ or divide by its reciprocal

which is 2. 

 

50% of 240 = 240 x ½ = 240 ÷ 2 =

Since 200% equals 2, the easy way to find 200% is to

multiply by 2.  Another way is 100% equals the number.

200% is twice as much so double it.

 

200% of 240 =

To find 10%, we can move the decimal one place left

 

 

because 10% equals 0.1  in decimal form or        

 

 

in fraction form. 

 

 

10% of 240 = 240 x 0.1 =  

 

 

Because 20% is twice as much as 10%, we can find

 

10% and                 it.  We may also divide by 5 as it is

 

the reciprocal of the fraction              which also equals

 

20%. 

 

20% of 240 =

Since 5% is one-half of 10%, to find 5%, find 10% first

 

 

and then divide by         .  Another way to find 5% is

 

 

to multiply by 0.05 which is 5% in decimal form or

 

 

divide by 20 the reciprocal of 1/20, the fraction that

 

 

equals 5%.  5% of 240 is              .

Since 1% equals 0.01, move the decimal       places

 

 

 

left to find 1%.  1% of 240 is            .

25% equals 0.25 which equals 25/100 which simplifies

 

 

to               .  We can multiply by its decimal form or

 

 

fraction form or divide by it reciprocal (which is 4).

 

 

 

25% of 240 = 240 x 0.25 = 240 x ¼ = 240 ÷ 4 =

Since 75% is three times as large as 25%, to find 75%

 

 

find 25% first and multiply it by            .

 

 

75% of 240 = 25% of 240 times 3 =

33⅓% equals 0.333... which equals  ⅓.  So if we

 

 

know what fraction it equals and its reciprocal (3),

 

 

we can divide by the reciprocal to find 33⅓%.

 

 

240 x 33⅓%  = 240 x ⅓  = 240 ÷ 3 =

Since 66⅔% is twice as large as 33⅓%, just find 33⅓%

 

 

first and double it.  66⅔% of 240 is                    .

Since 1% is 240 is 2.4, we can find 2% by doubling it.

 

 

2% of 240 is                .

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