Question

What % of $140$ is $65$ ?

Answer 1

Hint: In this problem, we need to find out what portion or part of $140$ is $65$ . For this, we first need to divide $65$ by $140$ to get the proper fraction and then multiply with $100$ to get the corresponding percentage.

Complete step by step answer:
Fractions and percentages are different ways to express portions or parts of a substance. Percentages are nothing but fractions, but expressed out of $100$ . The term “percent” consists of two words, “per” and “cent” where per means “out of” and cent means “hundred”. Thus, it clearly makes sense what percentage or percent means. Percentage is a scale to express what portion of a substance or number is a given substance or number. The scale has the lowest value of zero percent, which means none and the upper value as hundred percent which means full.
To find out percent, we usually divide the portion by the parent number. For example, if we want to find out what percent is $2$ of $3$ , we need to divide $2$ by $3$ . Doing this, we get the fraction. Multiplying it with $100$ , we get the required percentage.
For the given problem, we need to find out what percent of $140$ is $65$ . The parent number here is $140$ and the portion is $65$ . We divide $65$ by $140$ . After that, we multiply by $100$ . Thus,
$\dfrac{65}{140}\times 100\%=46.43\%$

Therefore, we can conclude that $65$ is $46.43\%$ of $140$.

Note: There are a lot of mistakes that we are susceptible to make in this problem. The first one includes the inverted division of numbers like, $\dfrac{140}{60}$ here. The second one is not to multiply with $100$ and the third mistake is not to put the percentage sign. All these mistakes will lead to incomplete or wrong answers, so we should try to avoid them.