Question

What is 42% of 150?

Answer 1

Hint: We are required to find the percentage of a number given. To calculate the percentage of a given number, we simply change the percentage into fraction using the fact the formula below:
$x \%=\dfrac{x}{100}$
for any quantity. We multiply the given quantity with this fraction and we obtain the result. Or we simply multiply the percentage number with the quantity given and later on divide the whole number by 100.

Complete step by step solution:
Percentage is self explanatory. It just tells the “per cent” which means to convert the quantity into $\dfrac{1}{100}^{th}$ part and multiply it by the percentage number given. Here, we are given 150. And, 42% of this means, $\left(42 \times \dfrac{1}{100}\right)^{th}$ part of 150 i.e. $\left(\dfrac{42}{100}\right)^{th}$ part of 150. So, we calculate it as follows:
$42\% \times 150=42\times\dfrac{1}{100}\times150$
Multiplying 42 with 150 and then dividing by 100 we obtain:
$42\%\times 150=\dfrac{6300}{100}=\dfrac{63}{1}=63$
Hence, 42% of 150 = 63
Also, we can write it as 42% of 150$=0.42\times 150$ which is again equal to 63.
Hence, the answer is obtained.

Note: Always try to first multiply the numbers in the numerator and then divide by 100 later on, to avoid any mistakes that might occur while putting decimal in the obtained quantity. While multiplying the fractions, put the decimal point at the right place and always be very careful while putting zeros. Don’t get confused between percentage and fraction. For example, 42% means 0.42 times the quantity given and 0.42% means $0.42 \times \dfrac{1}{100}$ i.e. 0.042 times the quantity given. Percent will always mean $\dfrac{1}{100}$, so calculate accordingly without mixing both of these together.