Question

What is 270 percent of 60?

Answer 1

Hint: Assume that 270 percent of 60 is equal to x. Now, convert 270% into fraction by dividing it with 100 and removing the percentage sign. Take the product of this fraction with 60 and equate it with x to form a linear equation in x. Solve for the value of x to get the answer.

Complete step-by-step solution:
Here we have been asked to find the value of 270 percent of 60. First let us understand the meaning of the term ‘percentage’.
In mathematics, percentage represents a number or ratio as a fraction of 100. For example: if we say 60% of the total number of bulbs in a shop are defective then we mean that if there are 100 bulbs in the shop then 60 of them are not working while only 40 are working. To change a percentage into fraction we divide the given number by 100 and remove the percentage sign.
Now let us come to the question. We have been asked to determine the value of 270% of 60. First we need to change 270% into its fractional form. So removing the percentage sign and dividing with 100 we have,
$\Rightarrow 270\%=\dfrac{270}{100}$
Now, the term ‘of’ means multiplication in mathematics, so we have,
$\Rightarrow \dfrac{270}{100}\times 60=x$
Cancelling the common factors we get,
\[\therefore x=162\]
Hence, 270% of 60 is 162.

Note: You must remember the interconversion rules of fractions, decimals and percentages. Note that percentage is dimensionless, i.e. it has no unit and is a pure number. The reason is that it is a ratio of the same quantities having the same units which is multiplied with 100. Cancel the common factors of the fraction carefully as the maximum chance of making a calculation mistake is there only.