Question

2/3 is what percent of 1/4?

Answer 1

so if we take 1/4 to be the 100%, what is 2/3 in percentage off of it then?


`\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ (1)/(4)&100\\\\ (2)/(3)&p \end{array}\implies \cfrac{(1)/(4)}{(2)/(3)}=\cfrac{100}{p}\implies \cfrac{1}{4}\cdot \cfrac{3}{2}=\cfrac{100}{p}\implies \cfrac{3}{8}=\cfrac{100}{p} \\\\\\ p=\cfrac{8\cdot 100}{3}\implies p=\cfrac{800}{3}\implies p=266(2)/(3)\implies p\approx 266.\overline{66}`

yes, is a large value, because 2/3 is indeed larger than 1/4, more than twice as large.