Question

How do you express $35.4\%$ as a decimal?

Answer 1

Hint: The percentage of a number indicates the number of parts per hundred contributed by the number. So for expressing the given percentage as a decimal, which is given as $35.4\%$, we have to divide the number $35.4$ by one hundred. The division by ten shifts the decimal point one unit to the left. So the division by one hundred, equivalent to the division by ten two times, will shift the decimal point of the number $35.4$ two units towards the left.

Complete step-by-step solution:
The percentage given in the above question is $35.4\%$. We know that the percentage of a number indicates the number of parts contributed by the number in each hundred. So for writing the given number in decimal, we have to divide the number $35.4$ by one hundred to get $\dfrac{35.4}{100}$. We know that when dividing a number by ten, the decimal point of the number gets shifted one unit to the left. The division of a number is equivalent to dividing the number by ten two times. Therefore, on dividing $35.4$ by one hundred, its decimal point will get shifted two units towards the left so that the division $\dfrac{35.4}{100}$ will be equal to $0.354$.
Hence, the percentage $35.4\%$ is expressed in the decimal as $0.354$.

Note: Do not misunderstand that $35.4\%$ of a number is equal to $0.354$. For determining $35.4\%$ of a number, we have to multiply $0.354$ with that number, as indicated by the term “of” used along with the percentage.