Marge has saved $350 toward the cost of her vacation. The vacation will cost $1,750. What percent of the cost of the vacation has Marge saved?

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Answer 1 · 2018-05-06T14:32:50

20%

Percent comes from two word; "per" means 'divide by', "cent" means '100'. [eg: century = 100 years) So, "percent" means
'divided by 100'.

$\frac{p a r t}{a l l} = \frac{p a r t}{a l l}$ $(part)/(all)=(part)/(all)$

so (part cost)/(whole cost)=(part percent)/whole percent) and a 'whole percent' is 100%.

$\frac{$ 350}{$ 1750} = \frac{p a r t %}{100 %}$ $($350)/($1750)=(part %)/(100%)$

$(p a r t %) = \frac{$ 350}{$ 1750} \cdot (100 %)$ $(part %)=($350)/($1750)*(100%)$

$(p a r t %) = 20 %$ $(part %)=20%$

Notice how the dollar signs cancel and the only unit left is percent.