PercentDecimalFraction
1%0.011/100
5%0.051/20
10%0.11/10
12½%0.1251/8
20%0.21/5
25%0.251/4
331/3%0.333...1/3
50%0.51/2
75%0.753/4
80%0.84/5
90%0.99/10
99%0.9999/100
100%1
125%1.255/4
150%1.53/2
200%2



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Conversions!

From Percent to Decimal

To convert from percent to decimal divide by 100 and remove the % sign.

An easy way to divide by 100 is to move the decimal point 2 places to the left:


From Percent To Decimal
*
move the decimal point 2 places to the left

Don"t forget to remove the % sign!

From Decimal to PercentTo convert from decimal to percent multiply by 100%

An easy way to multiply by 100 is to move the decimal point 2 places to the right:


From Decimal To Percent
*
move the decimal point 2 places to the right

Don"t forget to add the % sign!

From Fraction to Decimal

To convert a fraction to a decimal divide the top number by the bottom number:


Example: To convert 0.75 to a fraction

StepsExample
First, write down the decimal "over" the number 1:

0.751

Multiply top and bottom by 10 for every number after the decimal point (10 for 1 number,100 for 2 numbers, etc):

0.75 × 1001 × 100

This makes a correctly formed fraction:

75100

Then Simplify the fraction:

34


From Fraction to Percentage

To convert a fraction to a percentage divide the top number by the bottom number, then multiply the result by 100%


Example: Convert 38 to a percentage

First divide 3 by 8: 3 ÷ 8 = 0.375

Then multiply by 100%: 0.375 × 100% = 37.5%

Answer: 38 = 37.5%


From Percentage to Fraction

To convert a percentage to a fraction, first convert to a decimal (divide by 100), then use the steps for converting decimal to fractions (like above).


Example: To convert 80% to a fraction

StepsExample
Convert 80% to a decimal (=80/100):

0.8

Write down the decimal "over" the number 1:

0.81

Multiply top and bottom by 10 for every number after the decimal point (10 for 1 number,100 for 2 numbers, etc):

0.8 × 101 × 10

This makes a correctly formed fraction:

810

Then Simplify the fraction:

45




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