Percentages
% are always out of 100
We use a % sign
Percentages can be converted to decimals and fractions easily:

Changing a dec to a %: multiply by 100

Changing a percentage to a fraction: put the % over 100, then simplify if necessary

Changing a percentage to a dec: just multiply by 100

Changing a fraction to a dec: just divide the top number by the bottom number (in your calculator)

Changing a dec to a frac: check what column the last digit is in and put it over that number Eg: 0.35, the 5 is in the 100th column so we write 35/100 (then simplify to 7/20)

Changing a frac to %: change frac to a dec, then multiply it by 100

Example: Shoes are marked as $180, but they are in a 30% off sale. What is the new price of the shoes? In your calculator you would enter: 30 ÷ 100 x 180 = __. Then you would subtract that percentage from $180.
The shoes will cost $180-$54 = $126

Example 2: Find 10% by moving the decimal point left one place – 10% of $180 is $18
So, 30% of 180 is ($18 x 3) $54

Percentages% are always out of 100

We use a % sign

Percentages can be converted to decimals and fractions easily:

Example: Shoes are marked as $180, but they are in a 30% off sale. What is the new price of the shoes? In your calculator you would enter: 30 ÷ 100 x 180 = __. Then you would subtract that percentage from $180.

The shoes will cost $180-$54 = $126

Example 2: Find 10% by moving the decimal point left one place – 10% of $180 is $18

So, 30% of 180 is ($18 x 3) $54

Try to fill out the table below: