Conversion of a percentage into a decimal and conversion of a decimal into a percentage

Conversion of a percentage into a decimal

To convert a percentage into a decimal remove the % sign and move the decimal point two places to the left.

Example: convert the following percentages into a decimal:

i) 36%      ii) 250%           iii) 57.5%          iv) 17 1/5%           v) 7%

Solution:

i) 36% = 0.36

ii) 250% = 250 = 2.5

iii) 57.5% = 0.575

iv) 17 1/5% = 17.2% = 0.172

v) 7% = 0.07

Conversion of a decimal into a percentage

To convert a decimal into a percentage, move the decimal point two place to the right ( adding zeros if necessary) and put % sign.

Example: convert the following decimals into percentages:

i) 0.35           ii) 8.12         iii) 0.018

Solution:

i) 0.35 = 35%

ii) 8.12 = 812%

iii) 0.018 = 1.8%