Question 182697
"What percent of 12 letters is 4 letters? "


To calculate the percentage, we can use the proportion:

{{{part/whole=percent/100}}}



In this case, the "part" is 4 and the "whole" is 12. Now let the "percent" be "x" to get:


{{{4/12=x/100}}}


{{{(4/12)(100)=x}}} Multiply both sides by 100 to isolate "x"



{{{400/12=x}}} Multiply {{{4/12}}} by 100 to get {{{400/12}}}



{{{x=33.3}}} Divide and rearrange the equation (note: the 3's after the decimal continue on forever)


So the percentage is *[Tex \LARGE 33.\bar{3}%]


Note: the bar over the "3" means that the 3 repeats forever after the decimal.



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Now let's use the same technique to solve the next problem


"During his basketball season Jeff made 520 baskets out of 1280 attempts, What was his shooting percentage? Round to the nearest whole percent."



In this problem, the "part" is 520 and the "whole" is 1280. Once again, we'll let the "percent" be "x". So we now have the proportion:


{{{520/1280=x/100}}}



{{{(520/1280)(100)=x}}} Multiply both sides by 100 to isolate "x"



{{{52000/1280=x}}} Multiply {{{520/1280}}} by 100 to get {{{52000/1280}}}



{{{x=40.625}}} Divide and rearrange the equation



So the percentage is 40.625%



Now let's round to the nearest whole percent to get 41% 



So his shooting percentage to the nearest whole percent is 41%