Question

What is the value of $35\%$ of $600$ ?

Answer 1

Hint: % or percentage means “per hundred” or “out of $100$ ”. So, x% can be written as $\dfrac{x}{100}$. These problems require the knowledge of operations of functions. Thus x% of a number (suppose a) will be x part of “a” out of 100 or $\dfrac{x}{100}\times a$. Hence, $35\%$ of $600$ can be rewritten as $\dfrac{35}{100}\times 600$ or $210$.

Complete step-by-step solution:
Numbers can be very crudely classified into two types; one is the whole numbers (and integers) and the other is fractional numbers. Whole numbers are those which start from zero and proceed by adding $1$ to the previous number, for example $2,18$ . Fractional numbers are considered to be those that lie between two whole numbers, for example $2.18,18.9,\dfrac{1}{2}$ . There are two mostly used ways to represent a whole number. One of the ways is fraction and the other way is decimal. Fractions are a representation where one number lies above another separated by an arrow. An example of fraction will be $\dfrac{1}{2}$ . Decimals are a representation where two numbers lie side-by-side and are separated by a dot. An example of decimal will be $2.18$ .
% or percentage means “per hundred” or “out of $100$ ”. So, x% can be written as $\dfrac{x}{100}$. These problems require the knowledge of operations of functions. Thus x% of a number (suppose a) will be x part of “a” out of 100 or $\dfrac{x}{100}\times a$.
The multiplication operation of fractions is quite interesting. The phrase “the fraction $\dfrac{a}{b}$ multiplied by $\dfrac{c}{d}$ “ means $\dfrac{a}{b}\times \dfrac{c}{d}$ . This can further be simplified as $\dfrac{a\times c}{b\times d}$ .
The given operation that we have in this problem is $35$ % of $600$. This can be rewritten as $\dfrac{35}{100}\times 600$ simplifying which we will get $210$.
Therefore, we can conclude that $35\%$ of $600$ gives $210$.

Note: The multiplication of fractions is not that complicated but it is quite prone to mistakes. Similarly, one must not take the process of converting percentages into fractions, an easy task. The multiplication at the end also needs to be done carefully.