# How do you convert 7/20 as a decimal and a percent?

Algebra

0.35 or 35%

Since you are trying to find equivalent values for 7/20, you can make two proportions and set them equal to each other. The following states that “7 out of 20 is equal to some amount out of 100.”

##7/20=x/100##

Solve by cross multiplying:

##20x=700##

Divide both sides by 20 to isolate ##x##:

##x=35## Therefore, ##7/20=35/100##. This is the same as saying 35%, since by definition “per” means out of, and “cent” means hundred. To make it into a decimal just move the decimal place two digits to the left, such that 35.00 becomes 0.35, and 100.00 becomes 1. Then it is simply ##0.35/1##, or 0.35