Question

What is $70\%$ of $140$ ?

Answer 1

Hint: In order to carry out the percentage calculation, we first need to divide $70$ by $100$ . This gives us the corresponding fraction. After this, we need to multiply this with $140$ . This gives us the required 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 is $2\%$ of $3$ , we need to divide $2$ by $100$ . Doing this, we get the fraction. Multiplying it with $3$ , we get the required percentage.
For the given problem, we need to find out what is $70\%$ of $140$ . The parent number here is $140$ and the portion is $70\%$ . We divide $70$ by $100$ . After that, we multiply by $140$ . Thus,
$\dfrac{70}{100}\times 140=98$

Therefore, we can conclude that $70\%$ of $140$ is $98$

Note: One of the most common mistakes that students make in the percentage calculations is that they make the division of numbers wrong. For example, we often mistakenly divide $70$ by $140$ . This is wrong. We should keep in mind this silly mistake and proceed.